A bag x contains 3 white balls and 2 black balls and another bag y contains 2 white balls and 4 blac

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14.Probability

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A bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. A bag and a ball out of it are picked at random. The probability that the ball is white, is

A

$3/5$

B

$7/15$

C

$1/2$

D

None of these

(IIT-1971)

Solution

(b) Required probability $ = \frac{1}{2}\left( {\frac{3}{5} + \frac{2}{6}} \right) = \frac{{9 + 5}}{{30}} = \frac{7}{{15}}.$A

Standard 11

Mathematics

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