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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Probability
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For two independent events A and B $ P( A \cap B ) = \large\frac{3}{25}\: P(A' \cap B) = \large\frac{8}{25}$ then $ P(B) = $

$\begin {array} {1 1} (1)\;\large\frac{3}{11} & \quad (2)\;\large\frac{7}{25} \\ (3)\;\large\frac{11}{25} & \quad (4)\;None\: of \: these \end {array}$

 

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Since A and B are independent
$ P ( A \cap B ) = P(A)P(B)$
$ P(A' \cap B ) = P(A') P(B)$
$ \Rightarrow P(A)P(B)= \large\frac{3}{25}$
$ (1-P(A))P(B) = \large\frac{8}{25}$
$ P (B) = \large\frac{11}{25}$
Ans : (3)
answered Jan 2, 2014 by thanvigandhi_1
 

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