Question

a bag with 8 marbles has 4 yellow marbles, 3 blue marbles, and 1 red marble. a marble is chosen from the bag at random. what is the probability that it is not yellow?
write your answer as a fraction in simplest form.

Explanation:

Step1: Find non - yellow marbles

The number of blue marbles is 3 and the number of red marbles is 1. So the number of non - yellow marbles is \(3 + 1=4\).

Step2: Find total marbles

The total number of marbles in the bag is 8.

Step3: Calculate probability

The probability of an event is the number of favorable outcomes divided by the number of total outcomes. The number of favorable outcomes (non - yellow marbles) is 4, and the total number of outcomes (total marbles) is 8. So the probability \(P=\frac{4}{8}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\)