Home
Class 12
MATHS
The probabilities of three events A ,B ,...

The probabilities of three events `A ,B ,a n d \ C` are `P(A)=0. 6 ,P(B)=0. 4 ,a n d \ P(C)=0. 5.` If `P(AuuB)=0. 8 ,P(AnnC)=0. 3 ,P(AnnBnnC)=0. 2` ,and `P(AuuBuuC)geq0. 85 ,` then find the range of `P(BnnC)`.

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

Let A ,B ,C be three events such that P(A)=0. 3 , P(B)=0. 4 ,P(C)=0. 8 , P(AnnB)=0. 88 ,P(AnnC)=0. 28 ,P(AnnBnnC)=0. 09. If P(AuuBuuC)geq0. 75 , then show that 0. 23lt=P(BnnC)lt=0. 48.

The probabilities of three events A,B,C are P(A) = 0.6, P(B) = 0.4 and P( C) = 0.5.If P(A cup B) = 0.8, P(A cap C) = 0.3 , P(A cap B cap C) = 0.2 and P(A cup Bcup C ) ge 0.85, show that, 0.2 leP(BcapC) le 0.35.

If P (A) = 0. 8 ,and P(B|A) = 0. 4 , find P(AnnB)

If P(A)=0. 8 ,P(B)=0. 5 ,a n dP(B//A)=0. 4 , find (i) P(AnnB) (ii) P(A/B) (iii) P(AuuB)

If P(A/B)=0.8,P(B/A)=0.6" and " P(A^c cupB^c)=0.7 , then find the value of P(A cup B) .

If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find P(A|B)

If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4, find P(A cup 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 two events Aa n dB are such that P(A^c)=0. 3 ,P(B)=0. 4 ,a n dP(AnnB^c)=0. 5 , then find the value of P[B//(AuuB^c)]dot

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

CENGAGE PUBLICATION-PROBABILITY-All Questions
  1. 2^n players of equal strength are playing a knock out tournament. I...

    Text Solution

    |

  2. If Aa n dB are two events such that P(A)=1/2a n dP(B)=2/3. Then show...

    Text Solution

    |

  3. The probabilities of three events A ,B ,a n d \ C are P(A)=0. 6 ,P(B)=...

    Text Solution

    |

  4. The probability that at least one of the events Aa n dB occurs is 0.6...

    Text Solution

    |

  5. A man and a woman appear in an interview for two vacancies in the sa...

    Text Solution

    |

  6. A pair of unbiased dice are rolled together till a sum of “either 5 or...

    Text Solution

    |

  7. Two friends Aa n dB have equal number of daughters. There are three ci...

    Text Solution

    |

  8. A bag contains twelve pairs of socks and four socks are picked up at r...

    Text Solution

    |

  9. Find the probability of getting total of 5 or 6 in a single throw o...

    Text Solution

    |

  10. Two integers are chosen at random and multiplied. Find the probabil...

    Text Solution

    |

  11. If out of 20 consecutive whole numbers two are chosen at random, th...

    Text Solution

    |

  12. A bag contains 3 red, 7 white, and 4 black balls. If three balls ar...

    Text Solution

    |

  13. An ordinary cube has 4 blank faces, one face mark 2 and another marke...

    Text Solution

    |

  14. If the letters of the word REGULATIONS be arranged at random, find t...

    Text Solution

    |

  15. A five digit number is formed with the digits 1,2,3,4,5 without repeti...

    Text Solution

    |

  16. Five persons entered the lift cabin on the ground floor of an 8-floor ...

    Text Solution

    |

  17. Find the probability that a randomly chosen three-digit number has ...

    Text Solution

    |

  18. A card is drawn from an ordinary pack of 52 cards and a gambler bets ...

    Text Solution

    |

  19. A die is loaded so that the probability of a face i is proportional ...

    Text Solution

    |

  20. Out of 3n consecutive integers, three are selected at random. Find t...

    Text Solution

    |