suppose you spin the spinner twice. what is the probability of spinning a blue, then yellow? p(blue, yellow)…
suppose you spin the spinner twice. what is the probability of spinning a blue, then yellow? p(blue, yellow) = 3/? show your answer as a fraction in lowest terms. enter the denominator.
Answer
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 yellow
After the first spin, the probabilities remain the same for the second spin. There is 1 yellow section. So the probability of spinning a yellow on the second spin, $P(yellow)=\frac{1}{8}$.
Step3: Use the multiplication rule for independent events
Since the two spins are independent events, the probability of spinning a blue then a yellow is $P(blue,yellow)=P(blue)\times P(yellow)$. Substitute the values: $P(blue,yellow)=\frac{3}{8}\times\frac{1}{8}=\frac{3}{64}$.
Answer:
64