Home
Class 12
MATHS
If A, B, C are three events, then what i...

If A, B, C are three events, then what is the probability that at least two of these events occur together?

A

` P(A nn B) +P(B nn C)+P(C nnA)`

B

`P(A nn B) +P ( B nn C) +P(C nn A) - P(A nn B nn C)`

C

`P(A nn B) + P(B nn C) +P(C nn A) - 2P(A nn B nn C)`

D

`P(A nn B) +P(Bnn C) +P(C nn A) - 3P( Ann B nn C)`

Text Solution

Verified by Experts

The correct Answer is:
C
`P(AnnB) + P(B nn C) +P(A nn B) -2P(AnnBnnC)`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIAL,QUADRATIC EQUATION & INEQUALITIES

    NDA PREVIOUS YEARS|Exercise Math|170 Videos

  • PROPERTIES OF TRIANGLE, INVERSE TRIGONOMETRIC FUNCTION

    NDA PREVIOUS YEARS|Exercise MCQ|103 Videos

Similar Questions

Explore conceptually related problems

If A and B are two events,the probability that at most one of these events occurs is

If M and N are any two events, then probability that at least one of them occurs is:

If A and B are two eveuts, then what is the probability of occurrence of either event A or event B?

If A and B are two independent events, then prove that the probability that at least one event will happen will be 1-P(A').P(B') .

For three events A,B and C,P (Exactly one of A or B occurs) =P (Exactly one of B or C occurs) =P( Exactly one of C or A occurs) occurs) P (All the three events occur simultaneously) =(1)/(6). Then the probability that at least one of the events occurs,is : (7)/(64) (2) (3)/(16) (3) (7)/(32) (4) (7)/(16)

If A and B are two events, the probability that exactly one of them occurs is given by

NDA PREVIOUS YEARS-PROBABILITY AND PROBABILIYT DISTRIBUTION-Multiple Choice Question
  1. 8 coins are tossed simultaneously. The probability of getting at least...

    Text Solution

    |

  2. Three groups of children contain 3 girls and 1 boy; 2 girls and 2 boys...

    Text Solution

    |

  3. If the probability of simultaneous occurrence of two events A and B is...

    Text Solution

    |

  4. Two integers xa n dy are chosen with replacement out of the set {0,...

    Text Solution

    |

  5. From a deck of cards, cards are taken out with replacement. What is th...

    Text Solution

    |

  6. If A and B are two events such that P(A) = 0.5, P(B) =0.6 and P (A nnB...

    Text Solution

    |

  7. A problem is given to three students A, B and C whose probabilities of...

    Text Solution

    |

  8. A pair of fair dice is rolled. What is the probability that the second...

    Text Solution

    |

  9. A fair coin is tossed and an unbiased dice is rolled together. What is...

    Text Solution

    |

  10. If A, B, C are three events, then what is the probability that at leas...

    Text Solution

    |

  11. If two variables X and Y are independent, then what is thecorrelation ...

    Text Solution

    |

  12. Two independent events A and B are such that P (A uu B) = (2)/(3) an...

    Text Solution

    |

  13. If two fair dice are rolled then what is the conditional probability t...

    Text Solution

    |

  14. Two symmetric dice flipped with each dice having two side painted red,...

    Text Solution

    |

  15. There are n socks in a drawer, of which 3 socks are red. If 2 of the s...

    Text Solution

    |

  16. Five cards are drawn at random from a well shuffled pack of 52 playing...

    Text Solution

    |

  17. In eight throws of a die 5 or 6 is considered a success, find the mean...

    Text Solution

    |

  18. A and B are two events such that bar(A) and bar(B) are mutually exclus...

    Text Solution

    |

  19. A point is selected at random from the interior of a circle. The proba...

    Text Solution

    |

  20. If A and B are two eveuts, then what is the probability of occurrence ...

    Text Solution

    |