Home
Class 11
MATHS
The probabilities of three events A,B,C ...

The probabilities of three events `A,B,C` are such that `P(A)=0.3, P(B)=0.4, P(C)=0.8,P(A nn B)=0.09, P(Ann C) = 0.28, P(A nn B nn C) 0.08 and P(Auu B uu C) leq 0.75`.Show that `P(B nn C)` lies in the interval `[0.21, 0.46]`.

Text Solution

Verified by Experts

The correct Answer is:
`0.16`
N/a
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MCQ_TYPE|20 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise NCERT QUESTIONS|43 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NAGEEN PRAKASHAN|Exercise Exercise 4|29 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

If A, B, C are events such that P(A)=0.3,P(B)=0.4,P(C )=0.8 P(AnnB)=0.08,P(AnnC)=0.28 P(AnnBnnC)=0.09 If P(AuuBuuC)ge0.75 , then find the range of x=P(BnnC) lies in the interval.

The probabilities of three events A,B, and C are P(A)=0.6,P(B)=0.4, and P(C)=0.5. If P(A uu B)=0.8,P(A nn C)=0.3,P(A nn B nn C)=0.2, and P(A uu B uu C)>=0.85 then find the range of P(B nn C)

Let A,B,C be three events such that P(A)=0.3,P(B)=0.4,P(C)=0.8,P(A nn B)=0.88,P(A nn C)=0.28,P(A nn B nn C)=0.09 If P(A uu B uu C)>=0.75, then show that 0.23<=P(B nn C)<=0.48.

If A, B, C are events such that P(A) = 0.3, P(B) =0.4, P( C) = 0.8, P(A^B) = 0.09, P(A^C) = 0.28, P(A^B^C) = 0.08. If P(AcupBcupC)ge0.75 then P(B^C) lies in the interval

If P(A) = 0.7, P(B) = 0.4, P(A nn B) = 0.3, then P(A nn B') =

Let A, B and C be three events such that P(A)=0.3, P(B)=0.4, P(C )=0.8, P(A cap B)=0.08, P(A cap C) =0.28, P(A cap B cap C)=0.09 . If P(A cup B cup C) ge 0.75 , then show that P(B cap C) satisfies

Event A and B are such that P(A)=0.5, P(B)=0.25 and P(A nn B)=0.125 . Find P(A' nn B') .

A,B,C are events such that P(A)=0.3,P(B)=0.4,PC )=0.8,P(A cap B)=0.8,P(A cap C) =0.28, P(A cap B cap C)=0.09 . If 0.75 le P( A cup B cup C) le 1 , then P(B cap C) may be

A, B and C are events associated with a random experiment such that P(A) = 0.3, P(B) = 0.4, P(C) = 0.8, P(AcapB) = 0.08, P(A cap C) =0.28 and P(AcapBcapC) = 0.09. If P(AcupBcupC) ge 0.75 Then prove that P(B cap C) lies in the interval [0.23, 0.48] .

NAGEEN PRAKASHAN-PROBABILITY-EXERCISE
  1. There are 15 prizes and 25 blaks in a lottery. Find the probability of...

    Text Solution

    |

  2. Two dice are thrown. Find the odds in favour of getting the sum i. ...

    Text Solution

    |

  3. Two letters are drawn from the english alphabets. Find the probabil...

    Text Solution

    |

  4. A and B are two events such that P(A)=0.5, P(B)=0.4 and (A "or"B)=0.6,...

    Text Solution

    |

  5. A and B are two events such that P(A)=0.60, P(A"or"B)=0.85 and P (A an...

    Text Solution

    |

  6. (i) A and B are two events in a random experiment such that P(AuuB)=0....

    Text Solution

    |

  7. For two mutually exclusive events A and B , P(A)=1/3 and P(B)=1/4, fi...

    Text Solution

    |

  8. A, B, C are three mutually exclusive and exhaustive events associated ...

    Text Solution

    |

  9. A number is selected at random from first 200 natural numbers. Find th...

    Text Solution

    |

  10. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  11. A card is drawn at random from a well shuffled pack of 52 cards. Find ...

    Text Solution

    |

  12. Two cards are drawn at random from a well shuffled pack of 52 cards. F...

    Text Solution

    |

  13. A pair of dice is thrown once. What is the probability that either an ...

    Text Solution

    |

  14. A dice is thrown twice. Find the probability of getting 3 at least one...

    Text Solution

    |

  15. A card is drawn from a well shuffled pack of 52 cards. What is the pro...

    Text Solution

    |

  16. The probability of the occurrence of event A is 1/3 and the probabilit...

    Text Solution

    |

  17. There are 60% students in Maths and 305 in Biology. If 10% students ar...

    Text Solution

    |

  18. There are 100 bolts and 50 nuts in a box, out of which 50% bolts and 5...

    Text Solution

    |

  19. Two dice are thrown together. What is the probability that the sum ...

    Text Solution

    |

  20. The probabilities of three events A,B,C are such that P(A)=0.3, P(B)=...

    Text Solution

    |