Home
Class 12
MATHS
A fair die is tossed repeatedly until a ...

A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired.
The conditional probability that `Xge6` given `Xgt3` equals

A

`(125)/(216)`

B

`(25)/(216)`

C

`(25)/(36)`

D

`(25)/(216)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

Similar Questions

Explore conceptually related problems

A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired. The probability that X=3 equals

A fair die is tossed repeatedly until a 6 is obtained. Let X denote the number of tosses rerquired. The probability that X ge3 equals

A coin is tossed twice. Let X denotes of the number of times 'head' tunrs up. Write down the probability distribution of X.

A coin is tossed 4 times. Let X denote the number of heads. Find the probability distribution of X, its mean and variance.

Consider the experiment of throwing a die, if a multiple of 3 comes up, throw the die again and if any other number comes, toss a coin. Find the conditional probability of the event ‘the coin shows a tail’, given that ‘at least one die shows a 3’.

A die is thrown twice and the sum of the numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared at least once?

A fair die is tossed. Find the probability of getting a number greater than 2.

Two numbers are selected at random from first six positive integers. Let X denote the larger of the two numbers obtained. Find the probability distribution of X. find the mean and variance of this distribution.

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  2. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  3. A fair die is tossed repeatedly until a 6 is obtained. Let X denote th...

    Text Solution

    |

  4. In a binomial distribution B (n, p=(1)/(4)), if the probability of at...

    Text Solution

    |

  5. One ticket is selected at random from 50 tickets numbered 00, 01, 02...

    Text Solution

    |

  6. Let omega be a complex cube root of unity with omega ne 1. A fair die ...

    Text Solution

    |

  7. A signal which can can be green or red with probability 4/5 and 1/5 re...

    Text Solution

    |

  8. Four numbers are chosen at random (without replacement) from the set ...

    Text Solution

    |

  9. An urn contains nine balls of which three are red, four are blue and ...

    Text Solution

    |

  10. Let U1 and U2 be two urns such that U1 contains 3 white and 2 red ball...

    Text Solution

    |

  11. Let U1 and U2 be two urns such that U1 contains 3 white and 2 red ball...

    Text Solution

    |

  12. Let E and F be two independent events. The probability that exactly on...

    Text Solution

    |

  13. Consider 5 independent Bernoulli's trials each with probability of at ...

    Text Solution

    |

  14. If C and D are two events such that CsubD""a n d""P(D)!=0 , then the c...

    Text Solution

    |

  15. Let A, B, C be pariwise independent events with P(C) >0 and P(AnnBnnC)...

    Text Solution

    |

  16. A ship is fitted with three engines E1,E2 and E3. The engines function...

    Text Solution

    |

  17. four fair dice D1, D2,D3 and D4 each having six faces numbered 1,2,3,4...

    Text Solution

    |

  18. If X and Y are two events such that PX//Y)=(1)/(2), P(Y//X)=(1)/(3) an...

    Text Solution

    |

  19. Three numbers are chosen at random without replacement from {1,2,3,......

    Text Solution

    |

  20. A multiple choice examination has 5 questions. Each question has three...

    Text Solution

    |