suppose you spin the spinner twice. what is the probability of spinning a blue, then green? p(blue, green) =…
suppose you spin the spinner twice. what is the probability of spinning a blue, then green? p(blue, green) = ? show your answer as a fraction in lowest terms. enter the numerator.
Answer
Explanation:
Step1: Determine probability of blue
The spinner is divided into 8 equal - sized sections. There are 2 blue sections. So the probability of spinning a blue on the first spin, $P(blue)=\frac{2}{8}=\frac{1}{4}$.
Step2: Determine probability of green
After the first spin, the probabilities remain the same for the second spin. There are 3 green sections. So the probability of spinning a green on the second spin, $P(green)=\frac{3}{8}$.
Step3: Use multiplication rule for independent events
Since the two spins are independent events, the probability of spinning a blue then a green is $P(blue, green)=P(blue)\times P(green)$. Substitute the values: $\frac{1}{4}\times\frac{3}{8}=\frac{3}{32}$.
Answer:
3