Home
Class 12
MATHS
For two events A and B, let P(A)=0.4 and...

For two events A and B, let `P(A)=0.4` and `P(B)=p` and `P(AuuB)=0.6`
(i) Find p, so that A and B are independent events.
(ii) Find p, so that A and B are matually exclusive events .

Text Solution

Verified by Experts

The correct Answer is:
(i) `(1)/(3) (ii) (1)/(5)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -A)|32 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise SAMPLE QUESTION PAPER -I ( SOLVED ) ( SECTION -B)|6 Videos

  • PROBABILITY

    ACCURATE PUBLICATION|Exercise Questions Carrying Type -III ( TRUE OR FALSE QUESTIONS ) |21 Videos

  • MATRICES

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |4 Videos

  • RELATION AND FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|11 Videos

Similar Questions

Explore conceptually related problems

If P(A)=0.35, P(AuuB)=0.60 , find P(B) . where A and B are independent events.

If A and B are two events such that P(A)=1/4, P(B)=1/3 and P(AuuB)=1/2 , show that A and B are independent events.

For two events A and B, P(A)=0.5, P(B)=0.6 and P(AcupB)=0.8 find P(A//B) and P(B//A).

If P(A)=3/4 and P(B)=1/4 , find P(AcapB) if A and B are independent events.

If P(A)=0.38, P(A cup B) - 0.69, find P(B), if A and B are independent events.

If P(A)=3/5 and P(B)=1/5 , find P(AnnB) if A and B are independent events.

If P(A)=0.3, P(B)=0.4 , find P(AuuB) . where A and B are independent events.

ACCURATE PUBLICATION-PROBABILITY -Questions Carrying Type - 4 marks
  1. A couple has two children, find the probability that both children are...

    Text Solution

    |

  2. If P(A)=0.38, P(A cup B) - 0.69, find P(B), if A and B are independent...

    Text Solution

    |

  3. For two events A and B, let P(A)=0.4 and P(B)=p and P(AuuB)=0.6 (i) ...

    Text Solution

    |

  4. An urn contains 4 red and 7 blue balls . Two balls are drawn at random...

    Text Solution

    |

  5. The probabilities of two students A and B coming to the school in time...

    Text Solution

    |

  6. Rishav and Mahesh appeared for an interview. The probability of their ...

    Text Solution

    |

  7. A speaks truth in 75% of cases and B in 80% of cases. The percentage o...

    Text Solution

    |

  8. A speaks truth in 70% of the cases and B in 80% of the cases. In what ...

    Text Solution

    |

  9. Probability of A, B and C of solving a problem are (1)/(5), (1)/(6) an...

    Text Solution

    |

  10. The probability of A hitting a target is 4/5 and that of B hitting it ...

    Text Solution

    |

  11. Probability of solving specific problem independently by A and B are 1...

    Text Solution

    |

  12. A and B toss a coin alternately till one of them tosses a head and win...

    Text Solution

    |

  13. A and B throw two dice simultaneously turn by turn. A will win if he t...

    Text Solution

    |

  14. An urn contains 5 red and 5 black balls. A ball is drawn at random, it...

    Text Solution

    |

  15. There are two bags I and II. Bag I contains 4 white and 3 red balls wh...

    Text Solution

    |

  16. There are two bags I and II . Bag I contains 3 white and 2 red balls a...

    Text Solution

    |

  17. Bag I contains 4 red and 5 black balls and bag II contains 3 red and 4...

    Text Solution

    |

  18. In a set of 10 coins, 2 coins with heads on both sides. A coin is sele...

    Text Solution

    |

  19. Of the students in a college, it is known that 60% reside in hostel an...

    Text Solution

    |

  20. 40% students of a college reside in hostel and the remaining reside ou...

    Text Solution

    |