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

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

Text Solution

Verified by Experts

Probability(first two cards are kings and third card is ace)=P(king)xP(king)xP(ace)
Probability(first two cards are kings and third card is ace)=`4/52 xx 3/51 xx 4/50=2/(13 xx 17 xx25)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|19 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.5|15 Videos
  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.1|17 Videos
  • MATRICES

    NCERT ENGLISH|Exercise All Questions|105 Videos
  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 1.3|14 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 kings and the third card drawn is an ace?

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 ?

Four cards are successively drawn without replacement from a deck of 52 playing cards. What is the probability that all the four cards are king?

Four cards are successively drawn without replacement from a deck of 52 playing cards. What is the probability that all the four cards are king?

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.

Five cards are drawn successively with replacement from a pack of 52 cards. What is the probability that these five will contain at least three aces?

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

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 at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.

NCERT ENGLISH-PROBABILITY-Solved Examples
  1. If a machine is correctly set up. it produces 90% acceptable items. If...

    Text Solution

    |

  2. Prove that if E and F are independent events, then so are the events E...

    Text Solution

    |

  3. A die is thrown. If E is the event the number appearing is a multiple ...

    Text Solution

    |

  4. An unbiased die is thrown twice. Let the event A be "odd number on ...

    Text Solution

    |

  5. Bag I contains 3 red and 4 black balls while another Bag II contains ...

    Text Solution

    |

  6. If A and B are two independent events, then the probability of occurr...

    Text Solution

    |

  7. A person has undertaken a construction job. The probabilities are 0.65...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If A and B are two events such that: P(A)=7/(13) , P(B)=9/(13) and P(A...

    Text Solution

    |

  11. Ten cards numbered 1 through 10 are placed in a box, mixed up thoro...

    Text Solution

    |

  12. A family has two children, what is the probability that both of the c...

    Text Solution

    |

  13. A die is thrown three times. Events A and B are defined as follows: A:...

    Text Solution

    |

  14. In a school, there are 1000 students, out of which 430 are girls. It i...

    Text Solution

    |

  15. A die is thrown twice and the sum of the numbers appearing is observed...

    Text Solution

    |

  16. Consider the experiment of tossing a coin. If the coin shows head t...

    Text Solution

    |

  17. Suppose that the reliability of a HIV test is specified as follows:Of ...

    Text Solution

    |

  18. In a factory which manufactures bolts, machines A. B and C manufacture...

    Text Solution

    |

  19. Three coins are tossed. Consider the events: E=three heads or three ...

    Text Solution

    |

  20. Given three identical boxes I, II and III, each containing two coins. ...

    Text Solution

    |