Question

# A bag contains $5$ red, $8$ black and $7$ white balls. One ball is chosen at random. What is the probability that the chosen ball is black?

A

$\frac{2}{3}$

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B

$\frac{2}{5}$

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C

$\frac{3}{5}$

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D

$\frac{1}{3}$

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Solution

## The correct option is B $\frac{2}{5}$Find the probability of getting a black.Total number of balls $=\left\{\left(5red\right)+\left(8black\right)+\left(7white\right)\right\}=20balls$Number of black balls $=8$The probability of an event $A$ is given by:$P\left(A\right)=\frac{Numberoffavourableoutcomes}{Totalnumberofoutcomes}$Probability of getting a black ball $=\frac{Numberofblackballs}{Totalnumbersofballs}$ $=\frac{8}{20}\phantom{\rule{0ex}{0ex}}=\frac{2}{5}$Hence, the correct option is (b)

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