Home
Class 12
MATHS
For any two independent events E(1) and...

For any two independent events `E_(1) and E_(2), P {(E_(1) cup E_(2)) cap (bar(E ) _(1) cap bar(E )_(2)) } ` is

A

`le 1/4`

B

`gt 1/4`

C

`ge 1/2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

  • PROGRESSIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

For any two independent events E_(1) and E_(2) in a space S , P [(E_(1) cup E_(2) ) cap (bar(E_(1)) cap bar(E )_(2))] is :

Of the three independent events E_(1),E_(2),and E_(3), the probability that only E_(1) occurs is alpha only E_(2) occurs is beta, and only E_(3) occurs is gamma. Let the probability p that none of events E_(1),E_(2), or E_(3) occurs satisfy the equations (alpha-2beta)p=alpha betaand (beta-3gamma)p=betagamma. All the given probabilities are assumed to lie in the interval (0,1). Then ("Probability of occurrence of"E_(1))/("Probability of occurence of"E_(3))=______.

Let E^(c ) denote the complement of an event E . Let E,F ,G be pair - wise independent events with P(G) gt 0 and P(E ca p F cap G) = 0 . Then P(E^(C )cap F^(C )//G) equals :

The activation energies of two reactions are E_(1) and E_(2) (E_(1) gt E_(2)) . If the temperature of the system is increased from T_(1) to T_(2) , the rate constant of the reaction changes from k_(1) to k_(1) in the first reaction and k_(2) to k_(2) in second reaction predict which of the following expression is correct ?

If A and B are two independent events such that P(overline(A) cap B)=2//15 " and " P(A cap overline(B))=1//6 , then P(B), is

Two cells of emf E_(1) and E_(2) are joined in opposition ( such that E_(1) gt E_(2) ). If r_(1) and r_(2) be the internal resistance and R be the external resistance , then the terminal potential difference is

If A and B are independent events of a random experiment such that P(A cap B) = 1/6 and P(bar A cap B) = 1/3, then P(A) is equal to

Two bodies of masses m_1 and m_2 are acted upon by a constant force F for a time t . They start from rest and acquire kinetic energies E_(1) and E_(2) respectively . Then (E_(1))/(E_(2)) is

HIMALAYA PUBLICATION-PROBABILITY-QUESTION BANK
  1. The chance of getting a doublet with 2 dice is

    Text Solution

    |

  2. The letters of the word ALLAHABAD are arranged at random. The probabil...

    Text Solution

    |

  3. For any two independent events E(1) and E(2), P {(E(1) cup E(2)) cap ...

    Text Solution

    |

  4. A fair coin is tossed 100 times. The probability of getting tails an o...

    Text Solution

    |

  5. The probability of occurrence of a multiple of 2 n one dice and a mul...

    Text Solution

    |

  6. Three six faced dice are tossed together, then the probability that ex...

    Text Solution

    |

  7. Probability that a student will succeed in IIT entrance test is 0.2 an...

    Text Solution

    |

  8. For any two independent events E(1) and E(2), P {(E(1) cup E(2)) cap ...

    Text Solution

    |

  9. For three events A, B, C, we have P(A cup B) = p, P(A cup C) = p, P(A ...

    Text Solution

    |

  10. If from each of the three boxes containing 3 white and 1 black , 2...

    Text Solution

    |

  11. There are four machines and it is known that exactly two of them are f...

    Text Solution

    |

  12. If bar (E )and bar(F) are complementary events of events E and F res...

    Text Solution

    |

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

    Text Solution

    |

  14. Let omega be a complex cube a root of unity with omega != 1 . A fai...

    Text Solution

    |

  15. A and B are two events such that P(A cup B) = 3/4, P(A cap B) = 1/4, P...

    Text Solution

    |

  16. A die is thrown . Let A be the event that the number obtained is great...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. One ticket is selected at random from 50 tickets numbered 00,01,02……4...

    Text Solution

    |

  20. Out of 3 n consecutive integers, three are selected at random. Find th...

    Text Solution

    |