if you spin the spinner 12 times, what is the best prediction possible for the number of times it will land…
if you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on yellow? times
Answer
Explanation:
Step1: Determine probability of landing on yellow
Count the total number of sections on the spinner. Assume there are 8 equal - sized sections and 2 are yellow. The probability $P$ of landing on yellow is $P=\frac{\text{Number of yellow sections}}{\text{Total number of sections}}=\frac{2}{8}=\frac{1}{4}$.
Step2: Calculate the expected number of times
Multiply the probability of landing on yellow by the number of spins. The number of spins is $n = 12$. The expected number of times $E$ it lands on yellow is $E=P\times n$. Substitute $P=\frac{1}{4}$ and $n = 12$ into the formula: $E=\frac{1}{4}\times12 = 3$.
Answer:
3