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Three coins are tossed simultaneously. Consider the event E ‘three heads or three tails’, F ‘at least two heads’ and G ‘at most two heads’. Of the pairs (E,F), (E,G) and (F,G), which are independent? which are dependent?

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MODERN PUBLICATION-PROBABILITY-EXERCISE
  1. Three coins are tossed simultaneously. Consider the event E ‘three hea...

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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) =7/13 , P (B) =9/13 and P (A cap B) =4/13 , evaluate P (A|B)

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  4. If A and B are two events such that P(A)=1/4, P(B) =1/2 and P(Acap B) ...

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

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  6. If P(A)=0.8, P(B)=0.5 and P(B//A)=0.4, find (i) P(AnnB) (ii) P(A//...

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  7. If P(A)=0.8, P(B)=0.5 and P(B//A)=0.4, find (i) P(AnnB) (ii) P(A//...

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  8. If P(A)=0.3, P(B)=0.6 and P(B//A)=0.5 , find P(A//B) .

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

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

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

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  12. If P(A)=0.6, P(B)=0.7 and P(AuuB)=0.9, then find P(A/B) and P(B/A)

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

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

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

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  16. A die is thrown three times : E : 4 appears on the third toss . F ...

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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. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

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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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