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If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, fi...

If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find
`(i) P(A cap B) (ii) P(A|B) (iii) P(A cup B)`

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The correct Answer is:
(i) 0.32 (ii) 0.64 (iii) 0.98
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KUMAR PRAKASHAN-PROBABILITY-EXERCISE -13.1
  1. Given that E and F are events such that P(E )=0.6, P(F)=0.3 and (E cap...

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  2. Compute P(A|B), if P(B) = 0.5 and P(A cap B)=0.32

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  3. If P(A)=0.8, P(B)=0.5 and P(B|A)=0.4, find (i) P(A cap B) (ii) P(...

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  4. Evaluate P(A cup B), if 2P(A) = P(B)=(5)/(13) and P(A|B)=(2)/(5)

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  5. If P(A)=(6)/(11), P(B) =(5)/(11) and P(A cup B)=(7)/(11), find (i)...

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  6. Determine P(E|F) A coin is tossed three times, where E : head o...

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  7. Determine P(E|F) A coin is tossed three times, where E : at least...

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  8. Determine P(E|F) A coin is tossed three times, where E : at most ...

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  9. Determine P(E|F) Two coins are tossed once, where E : tail appears...

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  10. Determine P(E|F) Two coins are tossed once, where E : no tail appe...

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  11. Determine P(E|F) A dice is thrown three times, E : 4 appears on the...

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  12. Determine P(E|F) Mother, father and son line up at random for a fami...

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  13. A black and a red dice are rolled. (a) Find the conditional probabi...

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  14. A black and a red dice are rolled. (a) Find the conditional probabi...

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  15. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

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  16. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

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  17. A fair die is rolled. Consider events E = {1,3,5}, F = {2,3} and G = {...

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  18. Assume that each born child is equally likely to be a boy or a girl. I...

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  19. An instructor has a question bank consisting of 300 easy "True" // "Fa...

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  20. Given that the two numbers appearing on throwing two dice are differe...

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