Question

a drawer is filled with 7 black shirts, 5 white shirts, and 10 gray shirts. one shirt is chosen at random from the drawer. find the probability that it is not a gray shirt. write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of shirts

$7 + 5+10=22$

Step2: Calculate number of non - gray shirts

$7 + 5 = 12$

Step3: Calculate probability

The probability $P$ that a shirt is not gray is $\frac{\text{number of non - gray shirts}}{\text{total number of shirts}}=\frac{12}{22}=\frac{6}{11}$

Answer:

$\frac{6}{11}$