Question

a bag with 12 marbles has 5 red marbles, 3 blue marbles, and 4 yellow marbles. a marble is chosen from the bag at random. what is the probability it is red? write your answer as a fraction in simplest form.

Explanation:

Step1: Recall probability formula

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Step2: Identify values

Number of red marbles (favorable outcomes) \( = 5 \), total number of marbles \( = 12 \)

Step3: Substitute into formula

\( P=\frac{5}{12} \). Since 5 and 12 have no common factors other than 1, the fraction is in simplest form.

Answer:

\(\frac{5}{12}\)