Question

a bag with 8 marbles has 2 blue marbles, 3 yellow marbles, and 3 red marbles. a marble is chosen from the bag at random. what is the probability that it is blue? write your answer as a fraction in simplest form.

Explanation:

Step1: Identify favorable and total outcomes

Favorable outcomes (blue marbles) = 2, total outcomes (all marbles) = 8.

Step2: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total outcomes}}=\frac{2}{8}$.

Step3: Simplify the fraction

$\frac{2\div2}{8\div2}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$