Home
Class 12
MATHS
Let H1, H2,..., Hn be mutually exclusiv...

Let `H_1, H_2,..., H_n` be mutually exclusive events with `P (H_i) > 0, i = 1, 2,.......... n.` Let `E` be any other event with `0 < P (E)` Statement I `P(H_i|E) > P(E|H_i .P(H_i)` for `i=1,2,.......,n` statement II `sum_(i=1)^n P(H_i)=1`

A

Statement -1 is true , Statement -2 is true, Statement -2 is a correct explanation for Statement -1

B

Statement -1 is true , Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

Statement -1 is true , Statement -2 is false

D

Statement-1 is false, Statement-2 is true

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

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for " i=1, 2, 3 . P(none of E_1, E_2, E_3 ) equals

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for "i=1, 2, 3 . If p_1, p_2 and p_3 are the roots of 27x^3-27x^2+ax-1=0 the value of a is

Suppose E_1, E_2 and E_3 be three mutually exclusive events such that P(E_i)=p_i" for "i=1, 2, 3 . P(E_1capoverline(E_2))+P(E_2capoverline(E_3))+P(E_3capoverline(E_1)) equals

if a,A_(1),A_(2),A_(3)......,A_(2n),b are in A.P.then sum_(i=1)^(2n)A_(i)=(a+b)

There are n turns each continuous (n+1) balls such that the ithurn contains 'I' white balls and (n+1-i) red balls. Let u_(1) be the event of selecting ith urn, i=1,2,3……..n and W denotes the event of getting a white balls. If P(u_(i)) prop i , where i=1,2,3,........,..n, then lim_(n to oo) P(W) is equal to

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

There are n urns numbered 1 to n . The ith urn contains i white and (n+1-i) black balls. Let E_(i) denote the event of selecting ith urn at random and let W denote the event that the ball drawn is white. If P(E_(i))propi for i=1,2..........,n then lim_(nrarroo) P(W) is

If P(u_i)) oo i , where i = 1, 2, 3, . . ., n then lim_(nrarrw) P(w) is equal to

ARIHANT MATHS-PROBABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a telephone enquiry system, the number of phone calls regarding rel...

    Text Solution

    |

  2. One Indian and four American men and their wives are to be seated rand...

    Text Solution

    |

  3. Let H1, H2,..., Hn be mutually exclusive events with P (Hi) > 0, i = ...

    Text Solution

    |

  4. Let E^c denote the complement of an event E. Let E,F,G be pairwise ind...

    Text Solution

    |

  5. A pair of fair dice is thrown independently three times. The probab...

    Text Solution

    |

  6. Two aeroplanes I and II bomb a target in succession. The probabilit...

    Text Solution

    |

  7. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  8. Consider the system of equations ax + by = 0; cx + dy = 0, where a, b,...

    Text Solution

    |

  9. A die is thrown. Let A be the event that the number obtained is gre...

    Text Solution

    |

  10. It is given that the events A and B are such that P(A)=(1)/(4),P((A)/(...

    Text Solution

    |

  11. A fair die is tossed repeatedly until a six is obtained Let X denote t...

    Text Solution

    |

  12. A fair die is tossed repeated until a six is obtained. Let X denote th...

    Text Solution

    |

  13. A fair die is tossed repeatedly until a six obtained. Let X denote the...

    Text Solution

    |

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

    Text Solution

    |

  15. One ticket is selected at random from 50 tickets numbered 00, 01, 0...

    Text Solution

    |

  16. Let omega be a complex cube root unity with omega!=1. A fair die is th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let U1 , and U2, be two urns such that U1, contains 3 white and 2 red ...

    Text Solution

    |