Home
Class 12
MATHS
If A and B are two events, then which on...

If A and B are two events, then which one of the following is/are always true?

A

`P( A nn B ) ge P(A) + P(B)-1`

B

`P(A nn B) gt+ P( A )+ P( B )`

C

`P(A nn B) = P(A) + P(B)- P( A uu B)`

D

`P(A nn B) = P( A ) * P( B )`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos

  • Differentiation

    A DAS GUPTA|Exercise Exercise|98 Videos

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

Similar Questions

Explore conceptually related problems

Which of the following is always true ?

Which one of the following isnot true always?

Let A and B are two matrices then which of the following is always true? (i) A+B=B+A (ii)A+B=B-A (iii)A-B=B-A (iv) AB=BA

If A and B are two events, then which of the following does not represent the probability that exactly one of A, B occurs is

Which of the following is not always true ?

Which of the following is not true always ?

A DAS GUPTA-Elementary Probability-Exercise
  1. Three squares of Chess board are selected at random. Find the proba...

    Text Solution

    |

  2. A natural number is selected at random from the set {1<=x <=100}. The...

    Text Solution

    |

  3. If A and B are two events, then which one of the following is/are alwa...

    Text Solution

    |

  4. If E and Fare independent events such that 0 < P(E) <1 and 0 < P(F) <1...

    Text Solution

    |

  5. If two events A and B are such that P(A)gt 0 and P(B) ne 1, then ...

    Text Solution

    |

  6. For any two events A and B in a sample space, choose the correct optio...

    Text Solution

    |

  7. If M and N are any two events, then the probability that exactly one o...

    Text Solution

    |

  8. Fifteen coupons are numbered 1, 2, 3,…, 15 respectively. Seven coupons...

    Text Solution

    |

  9. In a box containing 60 bulbs 6 are defective . What is the prob...

    Text Solution

    |

  10. One hundred identical coins, each with probability 'p' of showing head...

    Text Solution

    |

  11. The probability that an event A happens in one trial of an experiment,...

    Text Solution

    |

  12. A fair coin is tossed n times. If the probability of getting 4, 5 and ...

    Text Solution

    |

  13. An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four ...

    Text Solution

    |

  14. The probabilities of three mutually exclusive events are 2/3, 1/4, ...

    Text Solution

    |

  15. If the probabilities for A to fail in an examination is 0.2 and that f...

    Text Solution

    |

  16. State whether the statements are true of false. The probability of get...

    Text Solution

    |

  17. A number x is selected from first 50 natural numbers. Find the probabi...

    Text Solution

    |

  18. State whether the statements are true of false. In a lottery all the t...

    Text Solution

    |

  19. If probabilities A and B are two independent events then P( A nn bar B...

    Text Solution

    |

  20. Out of 20 consecutive numbers, two are chosen at random, the probabili...

    Text Solution

    |