suppose you spin the spinner twice. what is the probability that both spins are red? p(red, red) = ? show…
suppose you spin the spinner twice. what is the probability that both spins are red? p(red, red) = ? show your answer as a fraction in lowest terms. enter the numerator.
Answer
Explanation:
Step1: Determine probability of one - red spin
The spinner is divided into 8 equal sections and 2 are red. So the probability of getting red in one spin is $\frac{2}{8}=\frac{1}{4}$.
Step2: Use multiplication rule for independent events
Since the two spins are independent events, the probability of getting red on both spins is the product of the probabilities of getting red on each spin. So $P(\text{red},\text{red})=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.
Answer:
1