Question

a drawer is filled with 2 black shirts, 7 white shirts, and 11 gray shirts. one shirt is chosen at random from the drawer. find the probability that it is not a black shirt. write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of shirts

$2 + 7+11=20$

Step2: Calculate number of non - black shirts

$7 + 11 = 18$

Step3: Calculate probability of non - black shirt

The probability $P$ of choosing a non - black shirt is the number of non - black shirts divided by the total number of shirts. So $P=\frac{18}{20}=\frac{9}{10}$

Answer:

$\frac{9}{10}$