A bag contains 3 white and 2 black balls and another bag contains 2 white and 4 black balls. A ball

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14.Probability

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A bag contains $3$ white and $2$ black balls and another bag contains $2$ white and $4 $ black balls. A ball is picked up randomly. The probability of its being black is

A

$\frac{2}{5}$

B

$\frac{8}{{15}}$

C

$\frac{6}{{11}}$

D

$\frac{2}{3}$

Solution

(b) Required probability $ = \frac{1}{2} \times \frac{2}{5} + \frac{1}{2} \times \frac{4}{6} = \frac{8}{{15}}.$

Standard 11

Mathematics

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