Home
Class 11
MATHS
Check whether the following probabilitie...

Check whether the following probabilities `P(A)a n d\ P(B)` are consistently defined: `P(A)=0. 5 ,\ P(B)=0. 7 ,\ P(AnnB)=0. 6`

Text Solution

Verified by Experts

Given,`P(A)=0.5,P(B)=0.7, P(A∩B)=0.6`
It is known that if E and F are two events such that `E⊂F` then `P(E) ≤ P(F)`
We can see `P(A∩B) > P(A)`
Hence `P(A)` and `P(B)` are not consistently defined
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|287 Videos

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

Similar Questions

Explore conceptually related problems

Check whether the following probabilities P(A) and P(B) are consistently defined: P(A)=0.5,P(B)=0.4,P(A uu B)=0.8

Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A)" "=" "0. 5 , P(B)" "=" "0. 7 , P(A nnB)" "=" "0. 6 (ii) P(A)" "=" "0. 5 , P(B)" "=" "0. 4 , P(A uuB)" "=" "0. 8

Check whether the following probabilities P(A) and P(B) are consistently defined (i) P(A)=0.5,P(B)=0.7, P(AnnB)=0.6 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

Check whether the following probabilities P(A) and P(B) the consistently defined: (i) P(A)=0.5, P(B)=0.7, P(AnnB)=0.06 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

Check whether the following probabilities P(A) and P(B) the consistently defined: (i) P(A)=0.5, P(B)=0.7, P(AnnB)=0.06 (ii) P(A)=0.5, P(B)=0.4, P(AuuB)=0.8

Compute P(A//B),\ if\ P(B)=0. 5\ a n d\ P(AnnB)=0. 32 .

Given that P(A)=0.5, P(B)=0.35, P(AuuB)=0.7 find P(AnnB) .

If P(A)=0. 3 ,\ P(B)=0. 6 ,\ P(B//A)=0. 5 , find P(AuuB) .

Find P (A/B) if P(A) =0.4 , P(B) =0.8 and P (B/A) =0.6

Find P(A nn B) if A and B are two events such that P(A)=0.5,P(B)=0.6 and P(A uu B)=0.8

RD SHARMA-PROBABILITY-Solved Examples And Exercises
  1. An urn contains 7 white, 5 black and 3 red balls. Two balls are dra...

    Text Solution

    |

  2. The probability that at least one of the event A and B occurs is 0....

    Text Solution

    |

  3. Check whether the following probabilities P(A)a n d\ P(B) are consi...

    Text Solution

    |

  4. Check whether the following probabilities P(A)a n d\ P(B) are consi...

    Text Solution

    |

  5. Events E and F are such that P("not\ E\ or\ not\ F")=0. 25 State wh...

    Text Solution

    |

  6. The probability of two events A and B are 0.25 and 0.50 respectively...

    Text Solution

    |

  7. Find the probability of getting an even number on the firs tide or ...

    Text Solution

    |

  8. A die is thrown twice. What is the probability that at least one of ...

    Text Solution

    |

  9. A drawer contains 50 bolts and 150 nuts. Half of the bolts and half...

    Text Solution

    |

  10. In an essay competition, the odds in favour of competitors P, Q, R ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. The probability that a person will get an electric contract is 2/5 ...

    Text Solution

    |

  14. The probability that a student will receive A, B, C or D grade or 0...

    Text Solution

    |

  15. The probability that a patient visiting a dentist will have a tooth...

    Text Solution

    |

  16. Probability that Hameed passes in Mathematics is  and the probabilit...

    Text Solution

    |

  17. Find the probability of at most two tails or at least two heads in ...

    Text Solution

    |

  18. From the employees of a company 5 persons are elected to represent ...

    Text Solution

    |

  19. In class XI of a school 40% of the students study Mathematics and 3...

    Text Solution

    |

  20. Two students Anil and Ashima appeared in an examination. The probab...

    Text Solution

    |