Question

A bag of colored marbles contains 16 blue marbles, 12 red marbles, and 8 yellow marbles.

What is the theoretical probability of drawing a red marble?
Enter your answer as a reduced fraction, like this: 3/14

Answer 1

The theoretical probability of drawing a red marble is 1/3.

Explanation:

1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.

2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.

3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.