Card probability (15 cards, 9 unique suits, odds of specific possibilities acros three 5 card hands)












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Note: if you frequent reddits probability section you will have seen this posted in a slightly different posing allready, i'm cross posting to a few places because the question is driving me up the wall, it's holding a personal project up.



My probability mathematics has some serious holes, (primarily in terms of calculating odds of a matching event in a complex problem). So please explain your answer in simple terms. A random formulae is unlikely to help as i'll have trouble understanding it. Worked examples would be ideal.



The problem:



We have a randomly shuffled deck of cards composed of 15 cards total of 9 suits.



We'll designate the suits; A1, A2, A3, B1, B2, B3, C1, C2, & C3.



The deck contains one card each from suits A1, A2, B1, B2, C1, & C2.



It also contain 3 cards each from suits A3, B3, & C3.



The cards are dealt to 3 hands of 5 cards, each hand being dealt in sequence.



What i want to know is the average chance of any of the 3 hands containing 1 of the following 2 outcomes:




  1. 3 or more cards from any combination of A1, A2, &/or A3 suits.


  2. All 3 cards of A3 suit.











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    0












    $begingroup$


    Note: if you frequent reddits probability section you will have seen this posted in a slightly different posing allready, i'm cross posting to a few places because the question is driving me up the wall, it's holding a personal project up.



    My probability mathematics has some serious holes, (primarily in terms of calculating odds of a matching event in a complex problem). So please explain your answer in simple terms. A random formulae is unlikely to help as i'll have trouble understanding it. Worked examples would be ideal.



    The problem:



    We have a randomly shuffled deck of cards composed of 15 cards total of 9 suits.



    We'll designate the suits; A1, A2, A3, B1, B2, B3, C1, C2, & C3.



    The deck contains one card each from suits A1, A2, B1, B2, C1, & C2.



    It also contain 3 cards each from suits A3, B3, & C3.



    The cards are dealt to 3 hands of 5 cards, each hand being dealt in sequence.



    What i want to know is the average chance of any of the 3 hands containing 1 of the following 2 outcomes:




    1. 3 or more cards from any combination of A1, A2, &/or A3 suits.


    2. All 3 cards of A3 suit.











    share|cite|improve this question









    $endgroup$















      0












      0








      0





      $begingroup$


      Note: if you frequent reddits probability section you will have seen this posted in a slightly different posing allready, i'm cross posting to a few places because the question is driving me up the wall, it's holding a personal project up.



      My probability mathematics has some serious holes, (primarily in terms of calculating odds of a matching event in a complex problem). So please explain your answer in simple terms. A random formulae is unlikely to help as i'll have trouble understanding it. Worked examples would be ideal.



      The problem:



      We have a randomly shuffled deck of cards composed of 15 cards total of 9 suits.



      We'll designate the suits; A1, A2, A3, B1, B2, B3, C1, C2, & C3.



      The deck contains one card each from suits A1, A2, B1, B2, C1, & C2.



      It also contain 3 cards each from suits A3, B3, & C3.



      The cards are dealt to 3 hands of 5 cards, each hand being dealt in sequence.



      What i want to know is the average chance of any of the 3 hands containing 1 of the following 2 outcomes:




      1. 3 or more cards from any combination of A1, A2, &/or A3 suits.


      2. All 3 cards of A3 suit.











      share|cite|improve this question









      $endgroup$




      Note: if you frequent reddits probability section you will have seen this posted in a slightly different posing allready, i'm cross posting to a few places because the question is driving me up the wall, it's holding a personal project up.



      My probability mathematics has some serious holes, (primarily in terms of calculating odds of a matching event in a complex problem). So please explain your answer in simple terms. A random formulae is unlikely to help as i'll have trouble understanding it. Worked examples would be ideal.



      The problem:



      We have a randomly shuffled deck of cards composed of 15 cards total of 9 suits.



      We'll designate the suits; A1, A2, A3, B1, B2, B3, C1, C2, & C3.



      The deck contains one card each from suits A1, A2, B1, B2, C1, & C2.



      It also contain 3 cards each from suits A3, B3, & C3.



      The cards are dealt to 3 hands of 5 cards, each hand being dealt in sequence.



      What i want to know is the average chance of any of the 3 hands containing 1 of the following 2 outcomes:




      1. 3 or more cards from any combination of A1, A2, &/or A3 suits.


      2. All 3 cards of A3 suit.








      probability






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      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Jan 7 at 2:50









      darthkarl99darthkarl99

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