a drawer is filled with 9 black shirts, 6 white shirts, and 4 gray shirts. one shirt is chosen at random…

a drawer is filled with 9 black shirts, 6 white shirts, and 4 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.

a drawer is filled with 9 black shirts, 6 white shirts, and 4 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.

Answer

Answer:

$\frac{15}{19}$

Explanation:

Step1: Calculate total number of shirts

$9 + 6+4=19$

Step2: Calculate number of non - gray shirts

$9 + 6 = 15$

Step3: Calculate probability of non - gray shirt

$\text{Probability}=\frac{\text{Number of non - gray shirts}}{\text{Total number of shirts}}=\frac{15}{19}$