Home
Class 12
MATHS
If P(A)=(6)/(11), P(B) =(5)/(11) and P(A...

If `P(A)=(6)/(11), P(B) =(5)/(11) and P(A cup B)=(7)/(11)`, find
`(i) P(A cap B) (ii) P (A|B) (iii) P(B|A)`

Text Solution

Verified by Experts

The correct Answer is:
`(i) (4)/(11), (ii) (4)/(5), (iii) (2)/(3)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.2 |30 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise EXERCISE -13.3 |14 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos

  • MATRICES

    KUMAR PRAKASHAN|Exercise Practice Paper - 3 (Section - D)|1 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos

Similar Questions

Explore conceptually related problems

If P(A)=(6)/(11), P(B)=(5)/(11) amd P(A cup B)=(7)/(11) , find (i) P(A cap B) (ii) P(A|B) (iii) P(B|A)

If P(A) = (7)/(13) , P(B) = (9)/(13) and P(A cap B)= (4)/(13) then find P(A' | B) .

If A and B are two events such that P(A) = (1)/(2), P(B)= (1)/(3) and P(Acap B)= (1)/(4) . Find : (i) P(A//B) (ii) P(B // A) (ii) P(A'//B) (iv) P(A'//B')

If P(A)= (7)/(13), P(B)= (9)/(13) and P( A cap B) = (4)/(13) evaluate P(A | B)

If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find (i) P(A cap B) (ii) P(A|B) (iii) P(A cup B)

If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find (i) P(A cap B) (ii) P(A|B) (iii) P(A cup B) 

If P(B)= (3)/(5), P(A//B)= (1)/(2) and P(A cup B)= (4)/(5) then P(A cup B)' + P(A' cup B) = ……….

If P(A)= (3)/(10), P(B)= (2)/(5) and P(A cup B)= (3)/(5) then P(A//B) + P(B//A) equals = ……….

If P(A)= (2)/(5), P(B)= (3)/(10) and P(A cap B)= (1)/(5) , then P(A'//B') * P(B'//A') is equal to ……….

KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.1
  1. If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find (i) P(A cap B) (ii) P(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Determine P(E|F) A coin is tossed three times, where E : at least...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Determine P(E|F) Two coins are tossed once, where E : no tail appe...

    Text Solution

    |

  9. Determine P(E|F) A dice is thrown three times, E : 4 appears on the...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Given that the two numbers appearing on throwing two dice are differe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |