Question

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.

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 spins are independent events, the probability of getting red on the first spin and red on the second spin is the product of the probabilities of getting red on each individual spin. So $P(\text{red},\text{red})=\frac{1}{4}\times\frac{1}{4}=\frac{1}{16}$.

Answer:

1