Question

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.

Explanation:

Step1: Determine probability of spinning blue

The spinner is divided into 8 equal - sized sections. There are 3 blue sections. So the probability of spinning a blue on the first spin, $P(blue)=\frac{3}{8}$.

Step2: Determine probability of spinning green

After the first spin, the probabilities remain the same for the second spin. There are 2 green sections. So the probability of spinning a green on the second spin, $P(green)=\frac{2}{8}=\frac{1}{4}$.

Step3: Use the 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: $P(blue, green)=\frac{3}{8}\times\frac{1}{4}=\frac{3\times1}{8\times4}=\frac{3}{32}$.

Answer:

3