A bag contains 4 white, 5 black and 6 red balls. If a ball is drawn at random, then probability that

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14.Probability

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A bag contains $4$ white, $5$ black and $6$ red balls. If a ball is drawn at random, then what is the probability that the drawn ball is either white or red

A

$\frac{4}{{15}}$

B

$\frac{1}{2}$

C

$\frac{2}{5}$

D

$\frac{2}{3}$

Solution

(d) Probability for white ball $P(W) = \frac{4}{{15}}$

Probability for red ball $P(R) = \frac{6}{{15}}$

Probability (white or red ball) $ = P(W) + P(R)$

$ = \frac{4}{{15}} + \frac{6}{{15}} = \frac{{10}}{{15}} = \frac{2}{3}$.

Standard 11

Mathematics

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