suppose you spin the spinner twice. what is the probability that both spins are blue? p(blue, blue) = ? show…
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.
Answer
Explanation:
Step1: Determine probability of one - blue spin
The spinner is divided into 8 equal sections and 3 are blue. So the probability of getting blue in one spin is $P(\text{blue})=\frac{3}{8}$.
Step2: Use multiplication rule for independent events
Since the two spins are independent events, the probability of getting blue on both spins is $P(\text{blue, blue})=P(\text{blue})\times P(\text{blue})$. Substitute $P(\text{blue}) = \frac{3}{8}$ into the formula: $P(\text{blue, blue})=\frac{3}{8}\times\frac{3}{8}=\frac{9}{64}$.
Answer:
9