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