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A doctor is to visit a patient. From the...

A doctor is to visit a patient. From the past experience, it is known that the probabilities that he will come by train, bus, scooter or by other means of transport are respectively `3/10, 1/5, 1/10 and 2/5`. The probabilities that he will be late are `1/4, 1/3, 1/12`, if he comes by train, bus and scooter respectively, but if he comes by other means of transport, then he will not be late. When he arrives, he is late. What is the probability that he comes by train?

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PSEB-PROBABILITY-Exercise
  1. A doctor is to visit a patient. From the past experience, it is known ...

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  2. Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E...

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

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  4. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(AcapB)

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  5. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(A|B)

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  6. If P(A) = 0.8, P(B) = 0.5 and P (B|A) = 0.4 find: P(AcupB)

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

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

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

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

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  11. Determine P(E|F) if A coin is tossed three times, where : E : head on ...

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  12. Determine P(E|F) if A coin is tossed three times, where : E : at leas...

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  13. Determine P(E|F) : if A coin is tossed three times, where : E : at mo...

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  14. Determine P(E|F) if two coins are tossed once, where : E : tail appea...

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  15. Determine P(E|F) if two coins are tossed once, where : E : no tail app...

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  16. Determine P(E|F) if A die is thrown three times, where : E : 4 appear...

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

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  18. A black and a red dice are rolled :Find the conditional probability of...

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  19. A black and a red dice are rolled: Find the conditional probability of...

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

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

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