If A and B are two independent events such th | vedclass

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Question

(a) Since events are independent.

So, $P(A \cap B') = P(A) 	imes P(B') = \frac{3}{{25}}$

$ \Rightarrow P(A) 	imes \{ 1 - 2P(B)\} = \fr

Vedclass · Accepted Answer

$\frac{1}{5}$

Vedclass · Answer

(a) Since events are independent.

So, $P(A \cap B') = P(A) 	imes P(B') = \frac{3}{{25}}$

$ \Rightarrow P(A) 	imes \{ 1 - 2P(B)\} = \frac{3}{{25}}$ .....$(i)$

Similarly, $P(B) 	imes \{ 1 - P(A)\} = \frac{8}{{25}}$ .....$(ii)$

On solving $(i)$ and $(ii)$, we get $P(A) = \frac{1}{5}$ and $\frac{3}{5}$.

If $A$ and $B$ are two independent events such that $P\,(A \cap B') = \frac{3}{{25}}$ and $P\,(A' \cap B) = \frac{8}{{25}},$ then $P(A) = $

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