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Let A and B be events for which P(A) = x...

Let A and B be events for which P(A) = x, P(B) = y, `P(A nn B) = z`,then `P(A uu B)` equals

A

`(1-x)y`

B

`1-x+y`

C

`x+y-z`

D

`1-x+y`

Text Solution

Verified by Experts

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

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  2. If P(A) = 0.7, P(B) = 0.4, P(A nn B) = 0.3, then P(A nn B') =

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  3. Let A and B be events for which P(A) = x, P(B) = y, P(A nn B) = z,then...

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  4. If P(A) = 0.25, P(B) = 0.50 , P(A nn B) = 0 . 14 then P(barA nn barB)

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  5. If P(A) = P(B) = x and P(A nn B) = 0.14, then P(A' nn B') =(1)/(3), t...

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  6. Given P(A)=3/5 and P(B)=1/5 . Find P(A "or" B), if A and B are mutuall...

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  7. A coin is tossed and a die is rolled. The probability that the coin sh...

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  8. Two dice are thrown and two coins are tossed simultaneously. The proba...

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  9. The probability of happening of an event A is 0.5 and that of B is 0.3...

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  10. Two events A and B will be independent, if(A) A and B are mutually ex...

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  11. If A and B are two independent events such that P(A) = 0.40 , P(B) = 0...

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  12. If A and B are events having probabilities P(A) = 0.6, P(B) = 0.4 and ...

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  13. If the probabilities for A to fail in anexamination is 0.2 and that fo...

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  14. The probability that a man will live 10 more years is 1//4 and the pro...

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  15. A coin is tossed three times. Event A: two heads appear Event B: l...

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  16. If the events A and B are independent if P(barA) = (2)/(3) and P(barB...

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  17. If A and B are two independent events such that P(B) = 2/7, , P(A uu B...

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  18. For any two independent events E1 and E2 P{(E1uuE2)nn(bar(E1)nnbar(E2)...

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  19. Let A and B be two events such that Poverline((AcupB))=(1)/(6),P(AcapB...

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  20. IF A and B are independent events of a random experiment such tha...

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