Question

A bag contain $4$ white balls, $5$ red balls, $2$ black balls and $4$ green balls. A ball is drawn at random from the bag, find the probability that it is black.

Answer 1

A bag contains $4$ white balls, $5$ red balls, $2$ black balls and $4$ green balls.

Total numbers of balls $=4+5+2+4=15$

Total number of black balls=Number of favorable outcomes $=2$

Probability is given by,

$P\left(A\right)$$=\frac{\text{no. of possible outcomes}}{\text{No. of total outcomes}}$

$P$ (getting a black ball) $=\frac{2}{15}$