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If A and B are the two events such that `P(A)=3/5, P(B)=7/10` and `P(A uu B)=9/10`, then find (i) `P(A nn B)` (ii) `P(A//B)` (iii) `P(B//A)`
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If A and B are the two events such that...
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If A and B are the two events such that `P(A)=3/5, P(B)=7/10` and `P(A uu B)=9/10`, then find (i) `P(A nn B)` (ii) `P(A//B)` (iii) `P(B//A)` Select the correct answer from above options
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Nov 13, 2021
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JackTerrance
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(i) We know that `P(A nn B)=P(A)+P(B)-P(A uu B)` `=(3/5+7/10-9/10)=((6+7-9))/10=4/10=2/5` (ii) `P(A//B)=((A nn B))/(P(B))=((2//5))/((7//10))=(2/5xx10/7)=4/7`. (iii) `P(B//A)=((B nn A))/(P(A))=(P(A nn B))/(P(A))=((2//5)/(3//5))=(2/5xx5/3)=2/3`.
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