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Events A and B are independent if...

Events A and B are independent if

A

`P( Ann B) = P(A//B).P(B)`

B

`P(A nn B) = P(B//A).P(A)`

C

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

D

`P(A nn B) = P(A) .P(B)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-PROBABILITY-CLASSICAL THINKING(ADDITION THEOREM AND CONDITIONAL PROBABILITY )
  1. If P(A) =(1)/(4),P(B) = (1)/(2),P(A uu B) = (5)/(8) , then P(A nn B)...

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  2. If P(A) = 0.4 P(B) = x , P(A uu B) = 0.7 and the events A and B ar...

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  3. Two events A and B have probabilities 0.25 and 0.5 respectively. The p...

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  4. If A and B are two events such that P(A uu B) = (5)/(6) , P(A nn B) =...

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  5. Two events A and B have probability 0.28 and 0.55 respectively. The pr...

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  6. The probability that at least one of A or B occurs is 0.6. If A and B...

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  7. The probabilities of a student getting first class or second class or ...

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  8. Find the probability of getting a king or a heart from a pack of 52 ca...

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  9. A coin is tossed twice. If events A and B are defined as: A = head...

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  10. If A and B are two omdepemdemt events , then A are barB are

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  11. If A and B are any two events associated with an experiment, then

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  12. Events A and B are independent if

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  13. If the events A and B are mutually exclusive, then P( A/B) =

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  14. A and B are two events such that P(A)= 0.8, P(B) = 0.6 and P (Ann B) =...

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  15. If A and B are two events such that P(A) = (3)/(8) P(B) = (5)/(...

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  16. If P(A) = (1)/(2), P(B) = (1)/(3) and P(A nn B) = (1)/(4) then P(B/...

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  17. If P(A nn B) = 0.15 . P(B) = 0.90 then P(A//B) is

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  18. If A and B are two events such that P(A) ne 0 and P(B) ne 1 then P(...

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  19. A man and a woman appear in an interview for two vacancies in the s...

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