Home
Class 12
MATHS
Three cards are drawn successively, w...

Three cards are drawn successively, without replacement from a pack of 52 well shuffled cards. What is the probability that first two cards are kings and the third card drawn is an ace?

Text Solution

Verified by Experts

A= shows A king in 1st draw

B=shows A king in 2nd draw

C= shows An ace in 3rd draw

`P(A)=frac{4}{52}=frac{1}{13} `

`P(B / A)=frac{3}{51}=frac{1}{17} `

`P(C / A cap B)=frac{4}{50}=frac{2}{25} `

`therefore text { Required probability }=P(A cap B cap C) `

...
Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA|Exercise Solved Examples And Exercises|110 Videos
  • RELATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|197 Videos

Similar Questions

Explore conceptually related problems

Three cards are drawn successively without replacement from a pack of 52 well-shuffled cards . What is the probability that first two cards are queens and the third card drawn is a king ?

Three cards are drawn successively, without replacement from a pack of 52 well shuffied cards. What is the probability that first, second and third cards are jack, queen and kind, respectively ?

Three cards are drawn one by one without replacement from a well shuffled pack of 52 cards. Find the probability that the first two cards drawn are queen and third card drawn is a king.

Two cards are drawn successively without replacement from a well shuffled deck of 52 cards. Find the probability of exactly one ace.

Four cards are successive drawn without replacement from a pack of cards. What is the probability that all the four are aces ?

Two cards are drawn successively with replacement from a well-shuffled pack of 52 cards. The probability of drawing two aces is

Two cards are drawn successively with replacement from a well shuffled pack of 52 cards.Find the probability distribution of the number of aces.

Two cards are drawn successively without replacement from a well shuffled pack of 52 cards.Find the probability distribution of the number of aces.

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. A card is drawn from a well-shuffled deck of 52 cards and then a secon...

    Text Solution

    |

  2. An urn contains 10 black and 5 white balls. Two balls are drawn from ...

    Text Solution

    |

  3. Three cards are drawn successively, without replacement from a pack...

    Text Solution

    |

  4. A box of oranges is inspected by examining three randomly selected ...

    Text Solution

    |

  5. A bag contains 4 white, 7 black and 5 red balls. Three balls are drawn...

    Text Solution

    |

  6. If A and B are two events such that P(A)=0. 3 ,\ P(B)=0. 6\ a n d\ P(B...

    Text Solution

    |

  7. If P\ (A)=3/8,\ P(B)=1/2a n d\ P(AnnB)=1/4,\ fin d\ P( A // B )a n d...

    Text Solution

    |

  8. A couple has 2 children. find the probability that the both are boys i...

    Text Solution

    |

  9. Consider a random experiment in which a coin is tossed and if the coin...

    Text Solution

    |

  10. A coin is tossed twice and the four possible outcomes are assumed to b...

    Text Solution

    |

  11. Two coins are tossed. What is the probability of coming up two heads i...

    Text Solution

    |

  12. In a hostel 60% of the students read Hindi news paper, 40% read Englis...

    Text Solution

    |

  13. Consider the experiment of tossing a coin. If the coin shows head, ...

    Text Solution

    |

  14. If P(A)=7/(13),\ P(B)=9/(13)a n d\ P(AnnB)=4/(13),find\ P(A//B)dot

    Text Solution

    |

  15. if A and B are events such that P(A)=0. 6 ,\ P(B)=0. 3\ a n d\ P(AnnB)...

    Text Solution

    |

  16. If A and B are two events such that P(AnnB)=0. 32\ a n d\ P(B)=. 5 , t...

    Text Solution

    |

  17. If P(A)=0. 4 ,\ P(B)=0. 8 ,\ P(B//A)=0. 6 . Find P(A//B) and P(AuuB)

    Text Solution

    |

  18. If A and B are two events such that: P(A)=\ 1//3 , P(B)=1//5 and P(Auu...

    Text Solution

    |

  19. If P (A) =6/(11), P(B) =5/(11)and P(AuuB)=7/(11), find(i) P(AnnB) (ii)...

    Text Solution

    |

  20. If P(A)7/(13),P(B)=9/(13) and P(AnnB)=4/(13), find P(A/B)dot

    Text Solution

    |