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If A and B are two independent events such that `P(A)=(1)/(2)` and `P(B)=(1)/(5)`, then which of the following is not true ?A. `P(A uuB)=(3)/(5)`B. `P((A)/(B))=(1)/(4)`C. `P((A)/(AuuB))=(5)/(6)`D. `P((AnnB)/(bar(A)uubar(B)))=0` |
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Answer» Correct Answer - B Since A and B are independent events. `P(A nnB)=P(A)P(B)=(1)/(2)xx(1)/(5)=(1)/(10) and P((A)/(B))=P(A)=(1)/(2)` So, alternative (b) is true. Now, `P(A uu B)=P(A)+P(B)-P(A nnB)` `=(1)/(2)+(1)/(5)-(1)/(10)=(3)/(5)` So, alternative (1) is true. Now, `P((A)/(A uu B))=(P[Ann(AuuB)])/(P(AuuB))=(P(A))/(A(AuuB))=(1//2)/(3//5)=(5)/(6)` and `P((AnnB)/(bar(A)uubar(B)))=0` So, alternatives (C) and (D) also hold good. |
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