Question

a box is filled with 4 red crayons, 8 blue crayons, and 2 yellow crayons. a crayon is chosen at random from the box. find the probability that it is a red or a yellow crayon. write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate total number of crayons

Total crayons = red + blue + yellow = \(4 + 8+2=14\)

Step2: Calculate number of favorable outcomes

Favorable outcomes (red or yellow) = red + yellow = \(4 + 2=6\)

Step3: Calculate probability

Probability \(P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{6}{14}\)

Step4: Simplify the fraction

Divide numerator and denominator by 2: \(\frac{6\div2}{14\div2}=\frac{3}{7}\)

Answer:

\(\frac{3}{7}\)