Home
Class 12
MATHS
The probablities of events , AnnB, A, B ...

The probablities of events , `AnnB`, `A`, `B` and `AuuB` are respectively in `A.P.` with second term equal to the common difference. Therefore `A` and `B` are

A

A. mutually exclusive

B

B. independent

C

C. such that one of them must occur

D

D. such that one is twice as likely as the order

Text Solution

Verified by Experts

The correct Answer is:
A, D
`(a,d)` `P(AnnB)=a`, `P(A)=a+d`, `P(B)=a+2d`, and `P(AuuB)=a+3d` also `a+d=d`
`implies a=0`
`implies P(AnnB)=0`, `P(A)=d`, `P(B)=2d`
an `P(AuuB)=3d`
Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos

  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

The sum to n terms of an A.P. is n^(2) . Find the common difference.

If an A.P., the sum of 1st n terms is 2n^2 + 3n , then the common difference will

The sum of n terms of an A.P is n^2 .Find the common difference.

The sum of P terms of an AP is P^2 . Find the common difference.

The first and last terms of an A.P. are a and l respectively. If S be the sum of the terms then show that the common difference is (l^(2) - a^(2))/(2S - (l+a)) .

Write the first four terms of the A.P. when its first term is – 5 and the common difference is – 3.

If the first term of an A.P. is – 18 and its 10th term is zero, then find its common difference.

If n - th term of an A.P be 2n-4 , then which one of the following is common difference ?

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P. and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. The probability that a dealer will sell at least 20TV sets during a da...

    Text Solution

    |

  2. Consider the Cartesian plane R^(2) and let X denote the subset of poin...

    Text Solution

    |

  3. The probablities of events , AnnB, A, B and AuuB are respectively in A...

    Text Solution

    |

  4. 5 players of equal strength play one each with each other. P(A)= proba...

    Text Solution

    |

  5. A bag contains 2 white marbles , 4 blue marbels , and 6 red marbles . ...

    Text Solution

    |

  6. Let X denote the number of times heads occur in n tosses of a fair coi...

    Text Solution

    |

  7. If A(1), A(2),..,A(n) are any n events, then

    Text Solution

    |

  8. A die is thrown 31 times. The probability of getting 2,4 or 5 at most ...

    Text Solution

    |

  9. The records of a hospital show that 10% of the cases of a certain dise...

    Text Solution

    |

  10. The probabilities of A, B and C solving a problem independently are re...

    Text Solution

    |

  11. A fair coin is tossed until one of the two sides occurs twice in a row...

    Text Solution

    |

  12. A man throws a die until he gets a number greater than 3. The probabil...

    Text Solution

    |

  13. Suppose Aa n dB are two events with P(A)=0. 5a n dP(AuuB)=0. 8. Let P(...

    Text Solution

    |

  14. A biased coin with probability p(0 lt plt 1) of falling tails is tosse...

    Text Solution

    |

  15. Assume that the birth of a boy or girl to a couple to be equally likel...

    Text Solution

    |

  16. Two persons A and B get together once a weak to play a game. They alwa...

    Text Solution

    |

  17. Suppose Aa n dB shoot independently until each hits his target. They h...

    Text Solution

    |

  18. A fair die is tossed repeatedly. A wins if if is 1 or 2 on two consecu...

    Text Solution

    |

  19. A family has three children. Event 'A' is that family has at most one ...

    Text Solution

    |

  20. A certain coin is tossed with probability of showing head being 'p'. L...

    Text Solution

    |