suppose you spin the spinner twice. what is the probability of spinning a blue, then yellow? p(blue, yellow)…
suppose you spin the spinner twice. what is the probability of spinning a blue, then yellow? p(blue, yellow) = ? show your answer as a fraction in lowest terms. enter the numerator.
Answer
Answer:
1
Explanation:
Step1: Determine total sections
The spinner has 8 equal - sized sections.
Step2: Find probability of spinning blue first
The number of blue sections is 3. So $P(\text{blue})=\frac{3}{8}$.
Step3: Find probability of spinning yellow second
The number of yellow sections is 1. So $P(\text{yellow})=\frac{1}{8}$.
Step4: Use multiplication rule for independent events
Since the spins are independent, $P(\text{blue, yellow})=P(\text{blue})\times P(\text{yellow})=\frac{3}{8}\times\frac{1}{8}=\frac{3}{64}$. The numerator of the fraction in lowest - terms is 3.