Question

suppose you spin the spinner twice. what is the probability that both spins are blue? p(blue, blue) = ? show your answer as a fraction in lowest terms. enter the numerator.

Explanation:

Step1: Determine probability of one - blue spin

The spinner is divided into 8 equal - sized sections and 3 of them are blue. So the probability of getting blue in one spin is $P(\text{blue})=\frac{3}{8}$.

Step2: Use the multiplication rule for independent events

Since the two spins are independent events, the probability that both spins are blue is the product of the probabilities of getting blue in each spin. So $P(\text{blue},\text{blue})=\frac{3}{8}\times\frac{3}{8}=\frac{9}{64}$.

Answer:

9