Probability of matching 5 cards from a deck of 40probability about playing a deck of cardsWhat is the probability that all 4 cards have different value?Probability in deck of only face cards.Probability of drawing >18 when drawing 3 cardsProbability of cards out of a deck52 cards are randomly drawn one by one and without replacement. What is the probability that an ace will appear before any of the cards 2 through 10?Probability of picking 2 queens and 1 king from a deck of cardsFinding expected value of number of kings drawn before the first Ace and its lower bound?a deck of cards has 54 cards…Expected number of cards needed to draw from 52 card deck to get a pair

3.5% Interest Student Loan or use all of my savings on Tuition?

The (Easy) Road to Code

Does an unused member variable take up memory?

What can I do if someone tampers with my SSH public key?

Limpar string com Regex

How to make sure I'm assertive enough in contact with subordinates?

Is it a Cyclops number? "Nobody" knows!

What is the orbit and expected lifetime of Crew Dragon trunk?

Why do phishing e-mails use faked e-mail addresses instead of the real one?

Do I need a return ticket to Canada if I'm a Japanese National?

Does the US political system, in principle, allow for a no-party system?

Was it really inappropriate to write a pull request for the company I interviewed with?

Boss Telling direct supervisor I snitched

How do you make a gun that shoots melee weapons and/or swords?

Is there a logarithm base for which the logarithm becomes an identity function?

Why would /etc/passwd be used every time someone executes `ls -l` command?

Why do we call complex numbers “numbers” but we don’t consider 2-vectors numbers?

What would be the most expensive material to an intergalactic society?

Tabular environment - text vertically positions itself by bottom of tikz picture in adjacent cell

How to install "rounded" brake pads

Is "cogitate" used appropriately in "I cogitate that success relies on hard work"?

Should I apply for my boss's promotion?

How would an energy-based "projectile" blow up a spaceship?

Short story about an infectious indestructible metal bar?



Probability of matching 5 cards from a deck of 40


probability about playing a deck of cardsWhat is the probability that all 4 cards have different value?Probability in deck of only face cards.Probability of drawing >18 when drawing 3 cardsProbability of cards out of a deck52 cards are randomly drawn one by one and without replacement. What is the probability that an ace will appear before any of the cards 2 through 10?Probability of picking 2 queens and 1 king from a deck of cardsFinding expected value of number of kings drawn before the first Ace and its lower bound?a deck of cards has 54 cards…Expected number of cards needed to draw from 52 card deck to get a pair













3












$begingroup$


Suppose we have a deck of 40 cards which has, 5 Aces, 6 Kings, 9 Queens, 20 Jacks. A game is played where a contestant will continuously draw cards until they have 5 matching cards (not necessarily in order). The cards are drawn without replacement.



I'm trying to find the probability of the contestant getting the five matching cards they get are all Aces (i.e. they have to get this before they get any other five matching cards).



Does anyone have any idea on how to approach this?










share|cite|improve this question









$endgroup$
















    3












    $begingroup$


    Suppose we have a deck of 40 cards which has, 5 Aces, 6 Kings, 9 Queens, 20 Jacks. A game is played where a contestant will continuously draw cards until they have 5 matching cards (not necessarily in order). The cards are drawn without replacement.



    I'm trying to find the probability of the contestant getting the five matching cards they get are all Aces (i.e. they have to get this before they get any other five matching cards).



    Does anyone have any idea on how to approach this?










    share|cite|improve this question









    $endgroup$














      3












      3








      3


      2



      $begingroup$


      Suppose we have a deck of 40 cards which has, 5 Aces, 6 Kings, 9 Queens, 20 Jacks. A game is played where a contestant will continuously draw cards until they have 5 matching cards (not necessarily in order). The cards are drawn without replacement.



      I'm trying to find the probability of the contestant getting the five matching cards they get are all Aces (i.e. they have to get this before they get any other five matching cards).



      Does anyone have any idea on how to approach this?










      share|cite|improve this question









      $endgroup$




      Suppose we have a deck of 40 cards which has, 5 Aces, 6 Kings, 9 Queens, 20 Jacks. A game is played where a contestant will continuously draw cards until they have 5 matching cards (not necessarily in order). The cards are drawn without replacement.



      I'm trying to find the probability of the contestant getting the five matching cards they get are all Aces (i.e. they have to get this before they get any other five matching cards).



      Does anyone have any idea on how to approach this?







      probability






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 16 hours ago









      DH.DH.

      59115




      59115




















          1 Answer
          1






          active

          oldest

          votes


















          3












          $begingroup$

          Suppose a win occurs when the fifth ace is drawn on draw $r+1$, for $0 le r le 16$. On the previous draw, the hand must have contained four aces and no more than four of any of the other ranks, and then the contestant must draw an ace on draw $r+1$.



          Let's try to find the probability of being in a favorable state on draw $r$. There are $binom40r$ possible hands of $r$ cards, all of which we assume are equally likely. We would like to count the number of hands containing exactly four aces and no more than four of any other rank, which we will call a "favorable hand". To do this, we will find the generating function of the number of favorable hands. Numbering the ranks from ace to jack as $1$ through $4$, let's say $n_i$ is the initial number of cards in the deck of rank $i$, for $i=1,2,3,4$, so $n_1 = 5$, $n_2=6$, etc. If we consider only cards of rank $i$, then the generating function for the number of hands containing zero to four of those cards is
          $$sum_j=0^4 binomn_ij x^j$$
          The generating function for the number of ways to draw exactly four aces is simply $binom54x^4$; so the generating function for the number of favorable hands containing cards of all ranks is
          $$f(x) = binom54x^4 prod_i=2^4 sum_j=0^4 binomn_ij x^j$$
          I.e., the coefficient of $x^r$ when $f(x)$ is expanded, which which we will denote by $[x^r]f(x)$, is the number of hands containing exactly four aces and no more than four of any other rank. After some computation (I used Mathematica, but a pencil and paper computation should not be difficult),
          $$f(x) = 5 x^4+175 x^5+2975 x^6+32725 x^7+261800 x^8+ \
          1544980 x^9+6741525 x^10+21960225
          x^11+53723775 x^12+ \ 96756975 x^13+122906250 x^14 +102343500
          x^15+45785250 x^16$$



          The probability of a favorable hand of $r$ cards is then
          $$frac[x^r]f(x)binom40r$$
          In order to win on draw $r+1$ the player must have a favorable hand on draw $r$ and then draw an ace on draw $r+1$, when there is one ace left in the deck and $40-r$ cards total. So the probability of a win on draw $r+1$ is
          $$frac[x^r]f(x)binom40r cdot frac140-r$$
          and the overall probability of winning is
          $$sum_r=0^16 frac[x^r]f(x)binom40r cdot frac140-r = boxed0.00194347$$






          share|cite|improve this answer











          $endgroup$












          • $begingroup$
            @user What do you mean by $p_1$?
            $endgroup$
            – awkward
            10 hours ago










          • $begingroup$
            @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @user OK, what are your numbers?
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
            $endgroup$
            – DH.
            8 hours ago











          • $begingroup$
            @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
            $endgroup$
            – The Problem
            8 hours ago










          Your Answer





          StackExchange.ifUsing("editor", function ()
          return StackExchange.using("mathjaxEditing", function ()
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          );
          );
          , "mathjax-editing");

          StackExchange.ready(function()
          var channelOptions =
          tags: "".split(" "),
          id: "69"
          ;
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function()
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled)
          StackExchange.using("snippets", function()
          createEditor();
          );

          else
          createEditor();

          );

          function createEditor()
          StackExchange.prepareEditor(
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader:
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          ,
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          );



          );













          draft saved

          draft discarded


















          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3140034%2fprobability-of-matching-5-cards-from-a-deck-of-40%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown

























          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          3












          $begingroup$

          Suppose a win occurs when the fifth ace is drawn on draw $r+1$, for $0 le r le 16$. On the previous draw, the hand must have contained four aces and no more than four of any of the other ranks, and then the contestant must draw an ace on draw $r+1$.



          Let's try to find the probability of being in a favorable state on draw $r$. There are $binom40r$ possible hands of $r$ cards, all of which we assume are equally likely. We would like to count the number of hands containing exactly four aces and no more than four of any other rank, which we will call a "favorable hand". To do this, we will find the generating function of the number of favorable hands. Numbering the ranks from ace to jack as $1$ through $4$, let's say $n_i$ is the initial number of cards in the deck of rank $i$, for $i=1,2,3,4$, so $n_1 = 5$, $n_2=6$, etc. If we consider only cards of rank $i$, then the generating function for the number of hands containing zero to four of those cards is
          $$sum_j=0^4 binomn_ij x^j$$
          The generating function for the number of ways to draw exactly four aces is simply $binom54x^4$; so the generating function for the number of favorable hands containing cards of all ranks is
          $$f(x) = binom54x^4 prod_i=2^4 sum_j=0^4 binomn_ij x^j$$
          I.e., the coefficient of $x^r$ when $f(x)$ is expanded, which which we will denote by $[x^r]f(x)$, is the number of hands containing exactly four aces and no more than four of any other rank. After some computation (I used Mathematica, but a pencil and paper computation should not be difficult),
          $$f(x) = 5 x^4+175 x^5+2975 x^6+32725 x^7+261800 x^8+ \
          1544980 x^9+6741525 x^10+21960225
          x^11+53723775 x^12+ \ 96756975 x^13+122906250 x^14 +102343500
          x^15+45785250 x^16$$



          The probability of a favorable hand of $r$ cards is then
          $$frac[x^r]f(x)binom40r$$
          In order to win on draw $r+1$ the player must have a favorable hand on draw $r$ and then draw an ace on draw $r+1$, when there is one ace left in the deck and $40-r$ cards total. So the probability of a win on draw $r+1$ is
          $$frac[x^r]f(x)binom40r cdot frac140-r$$
          and the overall probability of winning is
          $$sum_r=0^16 frac[x^r]f(x)binom40r cdot frac140-r = boxed0.00194347$$






          share|cite|improve this answer











          $endgroup$












          • $begingroup$
            @user What do you mean by $p_1$?
            $endgroup$
            – awkward
            10 hours ago










          • $begingroup$
            @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @user OK, what are your numbers?
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
            $endgroup$
            – DH.
            8 hours ago











          • $begingroup$
            @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
            $endgroup$
            – The Problem
            8 hours ago















          3












          $begingroup$

          Suppose a win occurs when the fifth ace is drawn on draw $r+1$, for $0 le r le 16$. On the previous draw, the hand must have contained four aces and no more than four of any of the other ranks, and then the contestant must draw an ace on draw $r+1$.



          Let's try to find the probability of being in a favorable state on draw $r$. There are $binom40r$ possible hands of $r$ cards, all of which we assume are equally likely. We would like to count the number of hands containing exactly four aces and no more than four of any other rank, which we will call a "favorable hand". To do this, we will find the generating function of the number of favorable hands. Numbering the ranks from ace to jack as $1$ through $4$, let's say $n_i$ is the initial number of cards in the deck of rank $i$, for $i=1,2,3,4$, so $n_1 = 5$, $n_2=6$, etc. If we consider only cards of rank $i$, then the generating function for the number of hands containing zero to four of those cards is
          $$sum_j=0^4 binomn_ij x^j$$
          The generating function for the number of ways to draw exactly four aces is simply $binom54x^4$; so the generating function for the number of favorable hands containing cards of all ranks is
          $$f(x) = binom54x^4 prod_i=2^4 sum_j=0^4 binomn_ij x^j$$
          I.e., the coefficient of $x^r$ when $f(x)$ is expanded, which which we will denote by $[x^r]f(x)$, is the number of hands containing exactly four aces and no more than four of any other rank. After some computation (I used Mathematica, but a pencil and paper computation should not be difficult),
          $$f(x) = 5 x^4+175 x^5+2975 x^6+32725 x^7+261800 x^8+ \
          1544980 x^9+6741525 x^10+21960225
          x^11+53723775 x^12+ \ 96756975 x^13+122906250 x^14 +102343500
          x^15+45785250 x^16$$



          The probability of a favorable hand of $r$ cards is then
          $$frac[x^r]f(x)binom40r$$
          In order to win on draw $r+1$ the player must have a favorable hand on draw $r$ and then draw an ace on draw $r+1$, when there is one ace left in the deck and $40-r$ cards total. So the probability of a win on draw $r+1$ is
          $$frac[x^r]f(x)binom40r cdot frac140-r$$
          and the overall probability of winning is
          $$sum_r=0^16 frac[x^r]f(x)binom40r cdot frac140-r = boxed0.00194347$$






          share|cite|improve this answer











          $endgroup$












          • $begingroup$
            @user What do you mean by $p_1$?
            $endgroup$
            – awkward
            10 hours ago










          • $begingroup$
            @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @user OK, what are your numbers?
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
            $endgroup$
            – DH.
            8 hours ago











          • $begingroup$
            @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
            $endgroup$
            – The Problem
            8 hours ago













          3












          3








          3





          $begingroup$

          Suppose a win occurs when the fifth ace is drawn on draw $r+1$, for $0 le r le 16$. On the previous draw, the hand must have contained four aces and no more than four of any of the other ranks, and then the contestant must draw an ace on draw $r+1$.



          Let's try to find the probability of being in a favorable state on draw $r$. There are $binom40r$ possible hands of $r$ cards, all of which we assume are equally likely. We would like to count the number of hands containing exactly four aces and no more than four of any other rank, which we will call a "favorable hand". To do this, we will find the generating function of the number of favorable hands. Numbering the ranks from ace to jack as $1$ through $4$, let's say $n_i$ is the initial number of cards in the deck of rank $i$, for $i=1,2,3,4$, so $n_1 = 5$, $n_2=6$, etc. If we consider only cards of rank $i$, then the generating function for the number of hands containing zero to four of those cards is
          $$sum_j=0^4 binomn_ij x^j$$
          The generating function for the number of ways to draw exactly four aces is simply $binom54x^4$; so the generating function for the number of favorable hands containing cards of all ranks is
          $$f(x) = binom54x^4 prod_i=2^4 sum_j=0^4 binomn_ij x^j$$
          I.e., the coefficient of $x^r$ when $f(x)$ is expanded, which which we will denote by $[x^r]f(x)$, is the number of hands containing exactly four aces and no more than four of any other rank. After some computation (I used Mathematica, but a pencil and paper computation should not be difficult),
          $$f(x) = 5 x^4+175 x^5+2975 x^6+32725 x^7+261800 x^8+ \
          1544980 x^9+6741525 x^10+21960225
          x^11+53723775 x^12+ \ 96756975 x^13+122906250 x^14 +102343500
          x^15+45785250 x^16$$



          The probability of a favorable hand of $r$ cards is then
          $$frac[x^r]f(x)binom40r$$
          In order to win on draw $r+1$ the player must have a favorable hand on draw $r$ and then draw an ace on draw $r+1$, when there is one ace left in the deck and $40-r$ cards total. So the probability of a win on draw $r+1$ is
          $$frac[x^r]f(x)binom40r cdot frac140-r$$
          and the overall probability of winning is
          $$sum_r=0^16 frac[x^r]f(x)binom40r cdot frac140-r = boxed0.00194347$$






          share|cite|improve this answer











          $endgroup$



          Suppose a win occurs when the fifth ace is drawn on draw $r+1$, for $0 le r le 16$. On the previous draw, the hand must have contained four aces and no more than four of any of the other ranks, and then the contestant must draw an ace on draw $r+1$.



          Let's try to find the probability of being in a favorable state on draw $r$. There are $binom40r$ possible hands of $r$ cards, all of which we assume are equally likely. We would like to count the number of hands containing exactly four aces and no more than four of any other rank, which we will call a "favorable hand". To do this, we will find the generating function of the number of favorable hands. Numbering the ranks from ace to jack as $1$ through $4$, let's say $n_i$ is the initial number of cards in the deck of rank $i$, for $i=1,2,3,4$, so $n_1 = 5$, $n_2=6$, etc. If we consider only cards of rank $i$, then the generating function for the number of hands containing zero to four of those cards is
          $$sum_j=0^4 binomn_ij x^j$$
          The generating function for the number of ways to draw exactly four aces is simply $binom54x^4$; so the generating function for the number of favorable hands containing cards of all ranks is
          $$f(x) = binom54x^4 prod_i=2^4 sum_j=0^4 binomn_ij x^j$$
          I.e., the coefficient of $x^r$ when $f(x)$ is expanded, which which we will denote by $[x^r]f(x)$, is the number of hands containing exactly four aces and no more than four of any other rank. After some computation (I used Mathematica, but a pencil and paper computation should not be difficult),
          $$f(x) = 5 x^4+175 x^5+2975 x^6+32725 x^7+261800 x^8+ \
          1544980 x^9+6741525 x^10+21960225
          x^11+53723775 x^12+ \ 96756975 x^13+122906250 x^14 +102343500
          x^15+45785250 x^16$$



          The probability of a favorable hand of $r$ cards is then
          $$frac[x^r]f(x)binom40r$$
          In order to win on draw $r+1$ the player must have a favorable hand on draw $r$ and then draw an ace on draw $r+1$, when there is one ace left in the deck and $40-r$ cards total. So the probability of a win on draw $r+1$ is
          $$frac[x^r]f(x)binom40r cdot frac140-r$$
          and the overall probability of winning is
          $$sum_r=0^16 frac[x^r]f(x)binom40r cdot frac140-r = boxed0.00194347$$







          share|cite|improve this answer














          share|cite|improve this answer



          share|cite|improve this answer








          edited 7 hours ago

























          answered 12 hours ago









          awkwardawkward

          6,24811022




          6,24811022











          • $begingroup$
            @user What do you mean by $p_1$?
            $endgroup$
            – awkward
            10 hours ago










          • $begingroup$
            @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @user OK, what are your numbers?
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
            $endgroup$
            – DH.
            8 hours ago











          • $begingroup$
            @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
            $endgroup$
            – The Problem
            8 hours ago
















          • $begingroup$
            @user What do you mean by $p_1$?
            $endgroup$
            – awkward
            10 hours ago










          • $begingroup$
            @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @user OK, what are your numbers?
            $endgroup$
            – awkward
            9 hours ago










          • $begingroup$
            @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
            $endgroup$
            – DH.
            8 hours ago











          • $begingroup$
            @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
            $endgroup$
            – The Problem
            8 hours ago















          $begingroup$
          @user What do you mean by $p_1$?
          $endgroup$
          – awkward
          10 hours ago




          $begingroup$
          @user What do you mean by $p_1$?
          $endgroup$
          – awkward
          10 hours ago












          $begingroup$
          @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
          $endgroup$
          – awkward
          9 hours ago




          $begingroup$
          @user Oh I see, you mean $p_i$ is the probability that rank $i$ is the first rank to get 5 cards. I haven't computed those other probabilities, but the probability I computed for aces is consistent with Monte Carlo results, so I'm pretty sure it's correct. If you see something wrong with the solution, please be specific.
          $endgroup$
          – awkward
          9 hours ago












          $begingroup$
          @user OK, what are your numbers?
          $endgroup$
          – awkward
          9 hours ago




          $begingroup$
          @user OK, what are your numbers?
          $endgroup$
          – awkward
          9 hours ago












          $begingroup$
          @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
          $endgroup$
          – DH.
          8 hours ago





          $begingroup$
          @awkward my monte carlo simulation comes up with the same answer as you awkward. Do you have any material to read about generating functions as I have not come across them before?
          $endgroup$
          – DH.
          8 hours ago













          $begingroup$
          @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
          $endgroup$
          – The Problem
          8 hours ago




          $begingroup$
          @DH. I would recommend actuarial course notes (if you can get your hands on them) great source for material on generating functions!
          $endgroup$
          – The Problem
          8 hours ago

















          draft saved

          draft discarded
















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid


          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.

          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function ()
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3140034%2fprobability-of-matching-5-cards-from-a-deck-of-40%23new-answer', 'question_page');

          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          How should I support this large drywall patch? Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern) Announcing the arrival of Valued Associate #679: Cesar Manara Unicorn Meta Zoo #1: Why another podcast?How do I cover large gaps in drywall?How do I keep drywall around a patch from crumbling?Can I glue a second layer of drywall?How to patch long strip on drywall?Large drywall patch: how to avoid bulging seams?Drywall Mesh Patch vs. Bulge? To remove or not to remove?How to fix this drywall job?Prep drywall before backsplashWhat's the best way to fix this horrible drywall patch job?Drywall patching using 3M Patch Plus Primer

          random experiment with two different functions on unit interval Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 00:00UTC (8:00pm US/Eastern)Random variable and probability space notionsRandom Walk with EdgesFinding functions where the increase over a random interval is Poisson distributedNumber of days until dayCan an observed event in fact be of zero probability?Unit random processmodels of coins and uniform distributionHow to get the number of successes given $n$ trials , probability $P$ and a random variable $X$Absorbing Markov chain in a computer. Is “almost every” turned into always convergence in computer executions?Stopped random walk is not uniformly integrable

          Lowndes Grove History Architecture References Navigation menu32°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661132°48′6″N 79°57′58″W / 32.80167°N 79.96611°W / 32.80167; -79.9661178002500"National Register Information System"Historic houses of South Carolina"Lowndes Grove""+32° 48' 6.00", −79° 57' 58.00""Lowndes Grove, Charleston County (260 St. Margaret St., Charleston)""Lowndes Grove"The Charleston ExpositionIt Happened in South Carolina"Lowndes Grove (House), Saint Margaret Street & Sixth Avenue, Charleston, Charleston County, SC(Photographs)"Plantations of the Carolina Low Countrye