Question

suppose you spin the spinner twice. what is the probability of spinning a red, then green? p(red, green) = ? show your answer as a fraction in lowest terms. enter the numerator.

Explanation:

Step1: Determine probability of spinning red

The spinner is divided into 8 equal - sized sections and 2 are red. So the probability of spinning red on the first spin, $P(\text{red})=\frac{2}{8}=\frac{1}{4}$.

Step2: Determine probability of spinning green

After the first spin, the situation is the same for the second spin. There are 8 sections and 3 are green. So the probability of spinning green on the second spin, $P(\text{green})=\frac{3}{8}$.

Step3: Use the multiplication rule for independent events

Since the two spins are independent events, the probability of spinning red then green is $P(\text{red},\text{green})=P(\text{red})\times P(\text{green})=\frac{1}{4}\times\frac{3}{8}=\frac{3}{32}$.

Answer:

3