Gujarati
14.Probability
medium

यदि $A$ तथा $B$ दो ऐसी घटनाएँ हों कि $P\,(A \cup B)\, + P\,(A \cap B) = \frac{7}{8}$ तथा $P\,(A) = 2\,P\,(B),$ तो $P\,(A) = $

A

$\frac{7}{{12}}$

B

$\frac{7}{{24}}$

C

$\frac{5}{{12}}$

D

$\frac{{17}}{{24}}$

Solution

(a) चूँकि $P(A \cup B) + P(A \cap B) = P(A) + P(B)$$ = P(A) + \frac{{P(A)}}{2}$

$ \Rightarrow \frac{7}{8} = \frac{{3P(A)}}{2} \Rightarrow P(A) = \frac{7}{{12}}.$

Standard 11
Mathematics

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