a box is filled with 12 red crayons, 5 blue crayons, and 7 yellow crayons. a crayon is chosen at random from…

a box is filled with 12 red crayons, 5 blue crayons, and 7 yellow crayons. a crayon is chosen at random from the box. find the probability that it is a blue or a yellow crayon. write your answer as a fraction in simplest form.

a box is filled with 12 red crayons, 5 blue crayons, and 7 yellow crayons. a crayon is chosen at random from the box. find the probability that it is a blue or a yellow crayon. write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate total number of crayons

$12 + 5+7=24$

Step2: Calculate number of blue or yellow crayons

$5 + 7 = 12$

Step3: Calculate the probability

The probability $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{12}{24}$

Step4: Simplify the fraction

$\frac{12\div12}{24\div12}=\frac{1}{2}$

Answer:

$\frac{1}{2}$