Home
Class 11
MATHS
In a hand at Whist, what is the probabil...

In a hand at Whist, what is the probability that four kings are held by a specified player?

Text Solution

Verified by Experts

In a game of whist, 4 players play the gam and each player is given `13` cards.
So, total number of ways a player is given `13` cards ` = C(52,13)`
Now, there are `4` kings and we need to find the number of ways so that
all `4` kings goes to a specific player.
A specific player can be given all `4` kings and
rest of the `9` cards can be given from remaining `48` cards.
So, total number of cases in this case ` = C(4,4)*C(48,9)`
So, the required probability ` = (C(4,4)xxC(48,9))/(C(52,13)).`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos
  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

Similar Questions

Explore conceptually related problems

What is the probability of getting a black king from a pack of 52 cards ?

Suppose that 90% of people are right-handed. What is the probability that at most 6 of a random sample of 10 people are right-handed?

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings?

A card is drawn at random from a pack of cards. What ist the probability that the drawn card is neither a heart nor a king?

Find the probability of getting a king or a heart from a pack of 52 cards.

Find the probability of a Red King in a pack of 52 cards.

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. Find the probability that in a random arrangement of the letters of th...

    Text Solution

    |

  2. In a hand at Whist, what is the probability that four kings are held b...

    Text Solution

    |

  3. A bag contains 8 red, 3 white and 9 blue balls. If three balls are dra...

    Text Solution

    |

  4. The letter of word CLIFTON are placed at random in a row. What is the ...

    Text Solution

    |

  5. The face cards are moved from a full pack. Out of the remaining 40 ...

    Text Solution

    |

  6. Five cards are drawn from a pack of 52 cards. What is the chance that ...

    Text Solution

    |

  7. A and B throw a pair of dice. If A throws 9, find B’s chance of thr...

    Text Solution

    |

  8. A class consists of 10 boys and 8 girls. Three students are selected a...

    Text Solution

    |

  9. A box contains 6 red marbles numbered 1 through 6 and 4 white marbles ...

    Text Solution

    |

  10. 20 cards are numbered from 1 tro 20. One card is drawn at random. What...

    Text Solution

    |

  11. A card is drawn at random from a pack of 52 cards. Find  the probabili...

    Text Solution

    |

  12. A bag contains 7 white, 5 black and 4 red balls. If two balls are draw...

    Text Solution

    |

  13. If n persons are seated on a round table, what is the probability tha...

    Text Solution

    |

  14. There are 4 letters and 4 addressed envelopes. Find the probability ...

    Text Solution

    |

  15. Each coefficient in the equation a x^2+b x+c=0 is determined by throwi...

    Text Solution

    |

  16. Prove that a^3+b^3+c^3-3abc=1/2(a+b+c){(a-b)^2+(b-c)^2+(c-a)^2}

    Text Solution

    |

  17. Three squares of Chess board are selected at random. Find the proba...

    Text Solution

    |

  18. In a single throw of three dice, find the probability of getting a tot...

    Text Solution

    |

  19. A bag contain 8 red and 5 white balls. Three balls are drawn at random...

    Text Solution

    |

  20. If a person visits his dentist, suppose the probability that he will ...

    Text Solution

    |