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 probability that X`ge3` equals

A

`(125)/(216)`

B

`(25)/(36)`

C

`(5)/(36)`

D

`(25)/(216)`

Text Solution

Verified by Experts

The correct Answer is:
B
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 conditional probability that Xge6 given Xgt3 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.

A coin is tossed 4 times. X is the number of heads observed. Find the probability distribution of X .

A die is tossed once. What is the probability of : getting the number 8.

A coin is tossed 5 times . X is the number of heads of observed . Find the probability distribution of X .

Let omega be a complex cube root of unity with omega ne 1 . A fair die is thrown three times. If r_(1), r_(2) and r_(3) are the numbers obtained on the die, then the probability that omega^(r_(1)) + omega^(r_(2)) + omega^(r_(3)) = 0 is

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.

A die is tossed once. What is the probability of : getting the number less than 8.

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. It is given that the events A and B are such that P(A)=1/4, P(A/B)=1/2...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |