Question

a bag with 12 marbles has 4 blue marbles, 3 yellow marbles, and 5 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 total and favorable outcomes

Total marbles = 12, blue marbles = 4

Step2: Apply probability formula

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{4}{12}$

Step3: Simplify the fraction

$\frac{4\div4}{12\div4}=\frac{1}{3}$

Answer:

$\frac{1}{3}$