Home
Class 12
MATHS
If A and B are arbitrary events, then a)...

If A and B are arbitrary events, then a) `P(A nn B) ge P(A)+ P(B)` (b) `P(A uu B) le P(A)+ P(B)` (c) `P(AnnB)=P(A)+ P(B)` (d)None of these

A

`P(AcapB)geP(A)+P(B)`

B

`P(AcapB) le P(A)+P(B)`

C

`P(AcapB)=P(A)+P(B)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
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 arbitrary events,then a )P(A nn B)>=P(A)+P(B)(b)P(A uu B)<=P(A)+P(B)(c)P(A nn B)=P(A)+P(B)(d) (d)None of these

If A and B are two events, then P( A nnB)= P( A )P( B ) b. 1-P(A)-P(B) c. P(A)+P(B)-P(AuuB) d. P(B)-P(AnnB)

If A and B are two events such that P(A uu B) + P(A nn B) = (7)/(8) and P(A) = 2P(B) , then P(A) =

If the events A and B are independent then P(AnnB) is equal to P(A)+P(B) b. P(A)-P(B) c. P(A)P(B) d. (P(A))/(P(B))

If A and B are two events and P(A) = (3)/(8) . P(B) =(1)/(2), P(A nn B) = (1)/(4) then P(A uu B) =

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

If A and B are two events such that P((A uu B)')= 1/6 , P(A nn B)=1/4 and P(A')= 1/4 , then P(A) and P(B) are

If A and B are two events such that P(A)=0.5,P(B)=0.6 and P(A uu B)=0.8 ,find P(A/B) and P(B/A) .

ML KHANNA-PROBABILITY-Self Assessment Test
  1. P(A cup B)=P(A cap B) if and only if the relation between P(A) and P(B...

    Text Solution

    |

  2. If A and B are arbitrary events, then

    Text Solution

    |

  3. If A and B are arbitrary events, then a) P(A nn B) ge P(A)+ P(B) (b) ...

    Text Solution

    |

  4. For two given event A and B, P(AcapB) is

    Text Solution

    |

  5. If M and N are any two events, the probability that the exactly one of...

    Text Solution

    |

  6. If E and F are independent events such that 0ltP(E)lt1 and 0ltP(F)lt1,...

    Text Solution

    |

  7. E and F are two independent events. The probability that both e and F ...

    Text Solution

    |

  8. If A and B are mutually exclusive events,thenP(AuuB)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |