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What is the probability that other players have Hearts or Q of Spades on hearts game?



The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)What are the chances of shooting the moon in Hearts?How many different flush hands can you have that consist only of hearts, diamonds or spades?What are the chances of winning with a specific card in SpadesQuestion about counting cardsProbability that a five-card poker hand contains the ace of hearts?Find the total number of combinations of suits of card from a deck of 52 cards.Combination: Card ProblemsCard guessing gameWhat is the probability of drawing a spade again if I already have $4$?Probability that one player has all the card and one player has no card of spades?










0












$begingroup$


I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.




Rules: Initially, 52 cards are distributed among all 4 players. Each
of them has 13 random cards. One has to start, other has to play the
same type card. If he hasn't that of type card, he can play any other
card. Let's assume, if one has no card, then he plays a card that has
a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.




My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S



So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.



If I want to play 7C,




P(H1|N1) = ?



P(Q1|N1) = ?



P(L2) = ?




Hi be the i-th player has HEARTS



Qi be the i-th player has Q of Spades



Ni be the i-th player has no CLUBS



Li be the i-th player has lower CLUBS










share|cite|improve this question









New contributor




Tareq Joy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$
















    0












    $begingroup$


    I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.




    Rules: Initially, 52 cards are distributed among all 4 players. Each
    of them has 13 random cards. One has to start, other has to play the
    same type card. If he hasn't that of type card, he can play any other
    card. Let's assume, if one has no card, then he plays a card that has
    a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.




    My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S



    So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.



    If I want to play 7C,




    P(H1|N1) = ?



    P(Q1|N1) = ?



    P(L2) = ?




    Hi be the i-th player has HEARTS



    Qi be the i-th player has Q of Spades



    Ni be the i-th player has no CLUBS



    Li be the i-th player has lower CLUBS










    share|cite|improve this question









    New contributor




    Tareq Joy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      0












      0








      0





      $begingroup$


      I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.




      Rules: Initially, 52 cards are distributed among all 4 players. Each
      of them has 13 random cards. One has to start, other has to play the
      same type card. If he hasn't that of type card, he can play any other
      card. Let's assume, if one has no card, then he plays a card that has
      a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.




      My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S



      So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.



      If I want to play 7C,




      P(H1|N1) = ?



      P(Q1|N1) = ?



      P(L2) = ?




      Hi be the i-th player has HEARTS



      Qi be the i-th player has Q of Spades



      Ni be the i-th player has no CLUBS



      Li be the i-th player has lower CLUBS










      share|cite|improve this question









      New contributor




      Tareq Joy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      I'm developing a 4 player Hearts game that has three AIs. So, I need some probabilities to do so.




      Rules: Initially, 52 cards are distributed among all 4 players. Each
      of them has 13 random cards. One has to start, other has to play the
      same type card. If he hasn't that of type card, he can play any other
      card. Let's assume, if one has no card, then he plays a card that has
      a point (If he has point card, Ex. Hearts & Q of Spades). Cards sequence is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A. 2 is lowest, A is Highest.




      My Deck is: 7C, 8C, 9C, 10C, 7D, 8D, 9D, 10D, 7H, 8H, 9H, 10H, 7S



      So, other players have 9 cards of Clubs, Diamonds, Hearts & 12 cards of Spades.



      If I want to play 7C,




      P(H1|N1) = ?



      P(Q1|N1) = ?



      P(L2) = ?




      Hi be the i-th player has HEARTS



      Qi be the i-th player has Q of Spades



      Ni be the i-th player has no CLUBS



      Li be the i-th player has lower CLUBS







      probability combinatorics probability-theory conditional-probability card-games






      share|cite|improve this question









      New contributor




      Tareq Joy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      share|cite|improve this question









      New contributor




      Tareq Joy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.









      share|cite|improve this question




      share|cite|improve this question








      edited Apr 8 at 7:50







      Tareq Joy













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      asked Apr 8 at 7:44









      Tareq JoyTareq Joy

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