Home
Class 12
MATHS
If A and B are any two events such that ...

If A and B are any two events such that `P(A) + P(B) - P(A a n d B) = P(A)`? then(A) `P(B | A) = 1` (B) `P(A | B) = 1`(C) `P(B | A) = 0` (D) `P(A | B) = 0`

Text Solution

AI Generated Solution

To solve the problem, we start with the given equation: \[ P(A) + P(B) - P(A \cap B) = P(A) \] ### Step 1: Simplify the equation We can rearrange the equation to isolate \( P(B) \): \[ ...
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT ENGLISH|Exercise EXERCISE 13.5|15 Videos

  • PROBABILITY

    NCERT ENGLISH|Exercise Exercise 13.4|17 Videos

  • PROBABILITY

    NCERT ENGLISH|Exercise Solved Examples|36 Videos

  • MATRICES

    NCERT ENGLISH|Exercise All Questions|105 Videos

  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise EXERCISE 1.3|14 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events euch that P(A) != 0 and P(B//A)=1 then

If A and B are two events such that P(AnnB)=0. 32 and P(B)=0. 5 , find P(A/B)dot

If A and B are two events such that P(AnnB)=0. 32\ a n d\ P(B)=. 5 , thenP(A//B)

If A and B are two events such that P(A) =0.6 , P(B) = 0.2 and P(A//B) = 0.5 , then P(A,B)is equal to

If A and B are two events and P(A) = 0.3 P(B) = 0.4 , P(A cap B) = 0.5 then P(A cup B) =

If A and B are two events such that P(A) =0.2 , P(B) = 0.4 and P( A cup B) = 0.6 then P(A/B) is equal to

If A and B are two events such that P(A) = 0.6 , P(B) = 0.2 and P(A/B) = 0.5 , then P(A'/B') is equal to

If A and B are two events such that P(A) = 1/2 , P(B) = 1/3 and P(A//B) =1/4 then P(A cap B) is equal to

If A and B are two events that P(A) gt 0 and P(B) != 1 , then P(A/B) is equal to

If A and B are events such that P(A)=1/2, P(B)=1/3 and P(A cap B)=1/4 , then find (a) P(A/B) (b) P(B/A)

NCERT ENGLISH-PROBABILITY-MISCELLANEOUS EXERCISE
  1. If A and B are any two events such that P(A) + P(B) - P(A a n d B) = P...

    Text Solution

    |

  2. If P(A|B) gt P(A), then which of the following is correct:(A) P(B | A...

    Text Solution

    |

  3. A couple has two children. Find the probability that both the children...

    Text Solution

    |

  4. Suppose that 5% of men and 0.25% of women have grey hair. A grey haire...

    Text Solution

    |

  5. Suppose that 90% of people are right-handed. What is the probability t...

    Text Solution

    |

  6. An urn contains 25 balls of which 10 balls are red and the remaining g...

    Text Solution

    |

  7. In a hurdle race, a player has to cross 10 hurdles. The probability...

    Text Solution

    |

  8. A die is thrown again and again until three sixes are obtained. Fin...

    Text Solution

    |

  9. An experiment succeeds twice as often as it fails. Then find the proba...

    Text Solution

    |

  10. If a leap year is selected at random, what is the change that it will ...

    Text Solution

    |

  11. In a game, a man wins a rupee for a six and loses a rupee for any o...

    Text Solution

    |

  12. A and B are two events such that P(A)!=0. Find P(B|A) , if (i) A is a...

    Text Solution

    |

  13. How many times must a man toss a fair com so that the probability o...

    Text Solution

    |

  14. If A and B are two events such that P(A)!=0and P(B | A) = 1; then(A) A...

    Text Solution

    |

  15. Bag I contains 3 red and 4 black balls and Bag II contains 4 red and ...

    Text Solution

    |

  16. An electronic assembly consists of two sub-systems say A and B. From ...

    Text Solution

    |

  17. If each element of a second order determinant is either zero or one, ...

    Text Solution

    |

  18. Assume that the chances of a patient having a heart attack is 40%. ...

    Text Solution

    |

  19. Suppose we have four boxes A,B,C and D containing coloured marbles as...

    Text Solution

    |