Home
Class 12
MATHS
If A and B be two events such that P(...

If A and B be 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.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MEAN VALUE THEOREMS

    RD SHARMA ENGLISH|Exercise All Questions|134 Videos
  • RELATIONS

    RD SHARMA ENGLISH|Exercise All Questions|197 Videos

Similar Questions

Explore conceptually related problems

A and B are two events such that P(A)=3/5, P(B)=3/10 and P(AuuB)=1/2 Find whether A and B are independent or not.

Let A and B be two events such that P(A)=1/(2),P(B)=pandP(AuuB)=3/(5) find 'p' if A and B are independent events.

Let A and B be two events such that P(A) = (1)/(2),P(B) = p and P(A cup B) = (3)/(5) find 'p' if A and b are independent events.

If P(A)= (1)/(4), P(B)= (1)/(3) and P(A U B)= (1)/(2) , prove that A and B are independent events

If A and B are two events such that P(A)=1/4, P(B)=1/2a n d\ P(AnnB)=1/8 , find P (not A and not B).

If A and B are two events such that: P(A)=\ 1//3 , P(B)=1//4 and P(AuuB)=5//12 , find P(A//B) and P(B//A) .

If A and B are two events such that P(A) = 1/2 , P(B) = 1/3 and P(A//B) =1/4 then P(A cap B) is equal to

If A and B are two events such that P(AcupB)=(5)/(6), P(A)=(1)/(3) and P(B)=(3)/(4) , then A and B are

If A and B are two events such that P(A)=1/3, P(B)=1/5 and P(AuuB)=(11)/(30), Find P(A/B) and P(B/A)dot

If A and B are two events such that P(A)= 1/2,P(B)=1/3and P(A//B)=1/4 then P ( A ' ∩ B ' ) is equals to

RD SHARMA ENGLISH-PROBABILITY-All Questions
  1. One card is drawn at random from a well shuffled deck of 52 cards. I...

    Text Solution

    |

  2. A coin is tossed three times. Let the events A B, and C be defined as ...

    Text Solution

    |

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

    Text Solution

    |

  4. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  5. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  6. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  7. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  8. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  9. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  10. Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=...

    Text Solution

    |

  11. If P(not\ B)=0. 65 ,\ P(AuuB)=0. 85 , and A and B are independent even...

    Text Solution

    |

  12. If A and B are tow independent events such that P( A nnB)=2/(15)a n d...

    Text Solution

    |

  13. A and B are two independent events.The probability that both A and B o...

    Text Solution

    |

  14. If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ ...

    Text Solution

    |

  15. A die is tossed twice. Find the probability of getting a number greate...

    Text Solution

    |

  16. Given the probability that A can solve a problem is 2/3 and the pro...

    Text Solution

    |

  17. An unbiased die is tossed twice. Find the probability of getting 4, 5,...

    Text Solution

    |

  18. A bag contains 3 red and 2 black balls. On ball is drawn from it at ...

    Text Solution

    |

  19. Three cards are drawn with replacement from a well shuffled pack of ...

    Text Solution

    |

  20. The probability that A hits a target is 1/3 and the probability that B...

    Text Solution

    |