during a series of spins, a spinner landed on blue 7 times and on other colors 7 times. considering this…

during a series of spins, a spinner landed on blue 7 times and on other colors 7 times. considering this data, how many of the next 10 spins should you expect to land on blue? spins

during a series of spins, a spinner landed on blue 7 times and on other colors 7 times. considering this data, how many of the next 10 spins should you expect to land on blue? spins

Answer

Explanation:

Step1: Calculate total spins

The total number of spins in the initial data is $7 + 7=14$ spins.

Step2: Calculate probability of landing on blue

The probability $P$ of landing on blue is the number of times it landed on blue divided by the total number of spins. So $P=\frac{7}{14}=\frac{1}{2}$.

Step3: Predict number of blue - landings in next 10 spins

Multiply the probability of landing on blue by the number of upcoming spins. So the expected number of spins landing on blue in the next 10 spins is $\frac{1}{2}\times10 = 5$.

Answer:

5