Home
Class 12
MATHS
For any two events A and B in a sample s...

For any two events A and B in a sample space

A

`P(A//B)ge(P(A)+P(B)-1)/(P(B)),P(B)ne0` is always true.

B

`P(Acapoverline(B))=P(A)-P(A capB)` does not hold

C

`P(AcupB)=1-P(overline(A))P(overline(B))`, if A and B are independent

D

`P(AcupB)=1-P(overline(A))P(overline(B))`, if A and B are disjoint.

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Comprehension)|1 Videos
  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion / Reason)|1 Videos
  • PROBABILITY

    ML KHANNA|Exercise Problem Set (1) FILL IN THE BLANKS|17 Videos
  • PERMUTATIONS AND COMBINATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST|20 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

Similar Questions

Explore conceptually related problems

If A and B are any two events in a sample space S then P(A uu B) is

If A and B are any two events in a sample space S, then P(A cap B') + P(A' cap B) + p (A' cap B') is the probability of occurrence of

If A and B are any two events in a sample space S such that P(A)=2/3, P(B)=3/5and P(A capB) = 2/5, " find " P(A'capB')

If A and B are two events defined on a sample space such that P(A)=(3)/(8),P(B)=(5)/(8) and P(A uu B)=(3)/(4) then

IF A and B be two events in a sample space such that P(A ) = 2/5 ,P(B ) = 1/2 and P(A uu B ) = 3/5 , find P(A nn B )

If A and B are two events defined on a sample space with the probabilities P(A)=0.5, P(B)=0.69 and P((A)/(B))=0.5 , thent the value of P((A)/(A^(c )uuB^(c ))) is equal to

Let S and T are two events difined on a sample space with probabilities P(S)=0.5,P(T)=069,P(S//T)=0.5 Events S and T are

Event and sample space

If A and B are any two events of a sample space S such that P(A) = 0.698, P(B) = 0.439 and P(A cap B) = 0.327," find " P(Acap B') and P(A' cap B)

ML KHANNA-PROBABILITY-Self Assessment Test
  1. If A and B are mutually exclusive events,thenP(AuuB)=

    Text Solution

    |

  2. If A and B are two independent events in a sample space then P(overlin...

    Text Solution

    |

  3. For any two events A and B in a sample space

    Text Solution

    |

  4. The probabilities of three mutually exclusive events A,B,C are : P(A)=...

    Text Solution

    |

  5. The probability that at least one of the events A and B occurs is 0.7 ...

    Text Solution

    |

  6. If 0 lt P(A) lt 1, 0 lt P(B) lt 1 and P(A cup B)=P(A)+P(B)-P(A)P(B), ...

    Text Solution

    |

  7. For the three events "A","B","andC","P"("e x a c t l yo n eo ft h ee v...

    Text Solution

    |

  8. For a biased die, the probabilities for the different faces to turn up...

    Text Solution

    |

  9. A biased die is tossed and the respective probabilities for various fa...

    Text Solution

    |

  10. Three identical dice are rolled. The probability that same number appe...

    Text Solution

    |

  11. A letter is known to have come either from LONDON or CLIFTON, on the p...

    Text Solution

    |

  12. A card from a pack 52 cards is lost. From the remaining cards , two ca...

    Text Solution

    |

  13. The probability that in the toss of two dice we obtain an even sum or ...

    Text Solution

    |

  14. A determinant is chosen at random from the set of all determinants of ...

    Text Solution

    |

  15. An experiment has 10 equally likely outcomes. Let A and B be two non-e...

    Text Solution

    |

  16. One ticket is selected at ransom form 50 tickets numbered 00,01,02,…,4...

    Text Solution

    |

  17. In a binomial distribution B(n , p=1/4) , if the probability of at lea...

    Text Solution

    |

  18. Four fair dice D(1),D(2),D(2) and D(4) each having six faces numbered...

    Text Solution

    |

  19. An urn contains nine balls of which three are red, four are blue and t...

    Text Solution

    |

  20. Three numbers are chosen at random without replacement from {1, 2, 3, ...

    Text Solution

    |