Question

A spinner with 8 quality sizes slices has two Yellow sizes, 3 Blue slices, and 3 Red slices. The dial is spun and stops on the side at random. What is the probability that the dial stops on Yellow or Blue size?

a. 3/8
b. 5/8
c. 1/4
d. 1/2

Answer 1

The probability of the spinner landing on Yellow or Blue is the sum of the individual probabilities of landing on Yellow and Blue, which adds up to 5/8.

Step-by-step explanation:

The question asks for the probability that the spinner lands on either Yellow or Blue. To calculate this probability, you add the two individual probabilities together because they are mutually exclusive events. There are two Yellow and three Blue slices out of a total of 8 slices. Therefore, the probability of landing on Yellow is 2/8 (which simplifies to 1/4) and the probability of landing on Blue is 3/8.

To find the total probability of landing on Yellow or Blue, you add the two probabilities:

P(Yellow or Blue) = P(Yellow) + P(Blue) = 1/4 + 3/8 = 2/8 + 3/8 = 5/8.

Thus, the correct answer is b. 5/8.