during a game, a spinner landed on several different colors. yellow 6 red 3 purple 2 green 12 blue 3…
during a game, a spinner landed on several different colors. yellow 6 red 3 purple 2 green 12 blue 3 considering this data, how many of the next 13 spins should you expect to land on purple? spins
Answer
Explanation:
Step1: Calculate total spins
Add up the number of times the spinner landed on each color: $6 + 3+2 + 12+3=26$.
Step2: Calculate probability of landing on purple
The probability $P$ of landing on purple is the number of purple - landings divided by the total number of landings. So $P=\frac{2}{26}=\frac{1}{13}$.
Step3: Calculate expected number of purple landings in 13 spins
Multiply the probability of landing on purple by the number of spins. Let $E$ be the expected number of purple landings in 13 spins. Then $E = P\times13=\frac{1}{13}\times13 = 1$.
Answer:
1