suppose you spin the spinner twice. what is the probability of spinning a green, then yellow? p(green…
suppose you spin the spinner twice. what is the probability of spinning a green, then yellow? p(green, yellow) = ? show your answer as a fraction in lowest terms. enter the numerator.
Answer
Explanation:
Step1: Determine probability of spinning green
The spinner is divided into 8 equal - sized sections, and 3 of them are green. So the probability of spinning green on the first spin, $P(G)=\frac{3}{8}$.
Step2: Determine probability of spinning yellow
After the first spin, the probabilities remain the same for the second spin. There is 1 yellow - colored section out of 8. So the probability of spinning yellow on the second spin, $P(Y)=\frac{1}{8}$.
Step3: Use the multiplication rule for independent events
Since the two spins are independent events, the probability of spinning green then yellow is $P(G,Y)=P(G)\times P(Y)$. Substitute the values: $P(G,Y)=\frac{3}{8}\times\frac{1}{8}=\frac{3}{64}$.
Answer:
3