Home
Class 12
MATHS
If A and B are events such that P(AuuB...

If `A and B` are events such that `P(AuuB)=3//4.P(AnnB)=1//4,and P(A^c)=2//3` , then find (i) `P(A)` (ii) `P(B)` (iii) `P(AnnB^c)` (iv)`P(A^cnnB)`

Promotional Banner

Topper's Solved these Questions

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    CENGAGE PUBLICATION|Exercise Sovled Examples|22 Videos
  • PROBABILITY I

    CENGAGE PUBLICATION|Exercise JEE Advanced|7 Videos

Similar Questions

Explore conceptually related problems

If A and B are events such that P(A'uuB') = (3)/(4), P(A'nnB') = (1)/(4) and P(A) = (1)/(3) , then find the value of P(A' nn B)

If A and B are two independent events such that P (A) = 1//2, P(B)=1//5, then find P(AuuB) and P(A|B)

A and B are two independent events such that P(AuuB')=0.8 , and P(A)=0.3 .Then P(B) is

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')

Let A and B be two events such that P(A) =1/3,P(B)=1/4 and P(AnnB)=1/4 . Find P(A//B),P(B//A),P(AuuB) .

A and B are events such that P(A) = 0.42 , P(B) = 0.48 and P(A and B) = 0.16 , Determine (i) P(not A), (ii) P(not B) and (iii) P(A or B).

Let A and B be events with P(A)=3/8,P(B)=5/8 and P(AcupB)=3/4 then P(A/B) =

If two events A and B such that P(A')=0.3 , P(B)=0.5 and P(AnnB)=0.3 , then P(AnnB') is

If A and B are two events such that P(AnnB)=0.3 and P(A'nnB')=0.6 , then the value of P(A)+P(B) is equal to

If A, B, C are three independent events such that P(A) = 1/4, P(B) = 1/3, P(C ) = 2/5, then find P(A uu B uu C) .

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. The probabilities of three mutually exclusive events are 2/3, 1/4, ...

    Text Solution

    |

  2. If P(AnnB)=1/2,P( barA nn barB )=1/3, P(A)=p , P(B)=2p , then find ...

    Text Solution

    |

  3. If A and B are events such that P(AuuB)=3//4.P(AnnB)=1//4,and P(A^c)...

    Text Solution

    |

  4. Three students A, B and C are in a swimming race. A and B have the sam...

    Text Solution

    |

  5. Let the nine different letters A, B, C… I in {1, 2, 3, …, 9}. Then fin...

    Text Solution

    |

  6. A pack of 52 cards is divided at random into two equals parts. Find th...

    Text Solution

    |

  7. A bag contains 50 tickets numbered 1, 2, 3, .., 50 of which five are d...

    Text Solution

    |

  8. There are eight girls among whom two are sisters, all of them are to s...

    Text Solution

    |

  9. In a single throw of two dice what is the probability of obtaining a...

    Text Solution

    |

  10. The probability of India winning a test match against West Indies is 1...

    Text Solution

    |

  11. A bag contains a white and b black balls. Two players, Aa n dB alterna...

    Text Solution

    |

  12. A binary number is made up to 8 digits. Suppose that the probability...

    Text Solution

    |

  13. The probability that Krishna will be alive 10 years hence is 7/15 and ...

    Text Solution

    |

  14. A bag contains 5 white and 3 black balls. Four balls are successively ...

    Text Solution

    |

  15. In a class of 125 students 70 passed in Mathematics, 55 in statistic...

    Text Solution

    |

  16. The probability that at least one of A and B occurs is 0.6. If A and B...

    Text Solution

    |

  17. Given two events A and B . If odds against A are as 2:1 and those in...

    Text Solution

    |

  18. If A and B are two events, then which of the following dies not repr...

    Text Solution

    |

  19. Number 1,  2, 3, ...100 are written down on each of the cards A, B,...

    Text Solution

    |

  20. An unbiased die is such that probability of number n appearing is ...

    Text Solution

    |