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If the events A and B are equally likely...

If the events A and B are equally likely, then P(A) =

A

P(B)

B

0

C

1

D

P(A`cup`B)

Text Solution

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The correct Answer is:
A
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Two events A and B are mutually exclusive, if P(A)= (1)/(2) and P(A cup B) = (2)/(3) , then the value of P(B) is -

Let A and B be two events such that p( bar (AuuB))=1/6, p(AnnB)=1/4 and p( bar A)=1/4 , where bar A stands for the complement of the event A. Then the events A and B are (1) mutually exclusive and independent (2) equally likely but not independent (3) independent but not equally likely (4) independent and equally likely

If barA and barB are the events complementary to the events A and B respectively, prove that, P(barA or barB)=1-P(A)P(B//A) .

If bar(A) and bar(B) are the events complementary to the events A and B respectively, prove that, P(bar(A) or bar(B)) = 1 - P(A cap B).

Two events A and B are mutually not exclusive events if P(A)=1/4,P(B)=2/5 and P(A cup B) =1/2 then find P(A cap B^c)

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CHHAYA PUBLICATION-PROBABILITY-MULTIPLE CHOICE TYPER QUESTIONS
  1. If S is the sure event then-

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  2. If the events A,B, and C are mutully exclusive then P(Acup B cup C) =

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  3. If the events A and B are not mutually exclusive then P(AcupB) =

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  4. If the events A and B are mutually exclusive then-

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  5. If the events A,B, and C are mutully exclusive then P(Acup B cup C) =

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  6. Two dice are rolled. The probability of getting a sum 7 is -

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  7. For twos events A and B if P(A cup B) = (3)/(4) , P(A cap B) = (1)/(4)...

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  8. If the events A and B are equally likely, then P(A) =

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  9. If the probability of occurrence of an event is (3)/(7), then the odds...

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  10. If the odds in favour of an event are 7:3, then its probability of occ...

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  11. The number of equally likely event points contained in its sample spac...

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  12. The number of throwing n dice simultaneously, is -

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  13. If the probability of non-occurrence of an event is (4)/(7) then the o...

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  14. If the odds against an event are 4 : 5, then the probability of occurr...

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  15. A number is chosen at random from the first 11 natural numbers, then t...

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  16. An unbiased coin is tossed 3 times in succession, the probability of g...

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  17. The probability of gettting 11 when an ordinary die is thrown twice is...

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  18. Two events A and B are mutually exclusive, if P(A)= (1)/(2) and P(Acup...

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  19. Three events A,B and C are mutually exclusive and exhaustive: if P(A) ...

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  20. If P(AcapB) = (5)/(13), then the value of P(A^( c) cup B^( c)) is -

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