Home
Class 12
MATHS
Compute P(A|B), if P(B) = 0.5 and P(A ca...

Compute P(A|B), if P(B) = 0.5 and `P(A cap B) = 0.32`

Text Solution

Verified by Experts

The correct Answer is:
`P(A|B)=(16)/(25)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.2|18 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise EXERCISE 3.3|14 Videos
  • PROBABILITY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|18 Videos
  • MATRICES

    NCERT GUJARATI|Exercise Miscellaneous Exercise on Chapter 3|15 Videos
  • RELATIONS AND FUNCTIONS

    NCERT GUJARATI|Exercise MISCLELLANEOUS EXERCISE ON CHAPTER 1|19 Videos

Similar Questions

Explore conceptually related problems

If two events A and B are such that P(A')= 0.3, P(B)=0.5 and P(A cap B) = 0.3 , then P(B | A cup B') is …………

A and B are events such that P(A')= 0.3, P(B) = 0.4 and P(A cap B') = 0.5 then P[B | (A cup B')] = …………

For events A and B if P(A) = 0.7, P(B) = 0.5 and P(A cap B)= 0.3 then find P(A |B) .

If P(A)= 0.2, P(B) = 0.3 and P(A cup B) = 0.25 then P(B | A') = ………..

A and B are two events such that P(A) = 0.54, P(B) = 0.69 and P(A nn B) = 0.35 Find (i) P(A uu B (ii) P(A' nn B') (iii) P(A nn B') (iv) P(B nn A')

A and B are events such that P(A)= 0.4, P(B)= 0.3 and P(A cup B)= 0.5 . Then P(B' cap A') equal = ……..

If P(A) = 0.5, P(B) = 0.6 and P(A cup B) = 0.8 then find P( A | B) and P( B | A) .

If P(A) = 0.1, P(B) = 0.2 and P(A cup B)= 0.25 then P(A' | B') = …………

If P(A) = 0.30, P(B) = 0.40 and P( A cup B)= 0.60 then P(B | A)= ………..

NCERT GUJARATI-PROBABILITY-EXERCISE 3.1
  1. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(...

    Text Solution

    |

  2. Compute P(A|B), if P(B) = 0.5 and P(A cap B) = 0.32

    Text Solution

    |

  3. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find (i) P(A cap B) (...

    Text Solution

    |

  4. Evaluate P(A cup B), if 2P(A) = P(B)=(5)/(13) and P(A|B)=(2)/(5)

    Text Solution

    |

  5. If P(A)=(6)/(11), P(B)=(5)/(11) amd P(A cup B)=(7)/(11), find (i) P(...

    Text Solution

    |

  6. Determine P(E|F) A coin is tossed three times, where (i) E : head...

    Text Solution

    |

  7. Determine P(E|F) Two coins are tossed once, where (i) E : tail ap...

    Text Solution

    |

  8. Determine P(E|F) A die is thrown three times, E : 4 appears on th...

    Text Solution

    |

  9. Determine P(E|F) Mother, father and son line up at random for a fami...

    Text Solution

    |

  10. A black and a red dice are rolled. (a) Find the conditional probabi...

    Text Solution

    |

  11. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

    Text Solution

    |

  12. Assume that each born child is equally likely to be a boy or a girl. I...

    Text Solution

    |

  13. An instructor has a question bank consisting of 300 easy "True" // "Fa...

    Text Solution

    |

  14. Given that the two numbers appearing on throwing two dice are differen...

    Text Solution

    |

  15. Consider the experiment of throwing a die, if a multiple of 3 comes up...

    Text Solution

    |

  16. Choose the correct answer If P(A)=(1)/(2), P(B) = 0, then P(A|B) is

    Text Solution

    |

  17. Choose the correct answer If A and B are events such that P(A|B) = P...

    Text Solution

    |