Question

A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 16 Blue 17 Green 5 Yellow 15 Purple 14 If the spinner is spun 200 more times, about how many times would you expect to land on blue? Round your answer to the nearest whole number.

Answer 1

To find the expected number of times to land on blue, we first need to calculate the total number of spins recorded so far:

Total number of spins = 16 + 17 + 5 + 15 + 14 = 67

Next, we calculate the probability of landing on blue based on the recorded spins:

Probability of landing on blue = Frequency of blue / Total number of spins
= 17 / 67
= 0.2537

Now, we use this probability to estimate the number of times to land on blue in 200 more spins:

Expected number of times to land on blue = Probability of landing on blue * Total number of spins + (Probability of landing on blue * 200)
= 0.2537 * 67 + (0.2537 * 200)
= 17 + 50.74
= 67.74

Rounding to the nearest whole number, we would expect to land on blue about 68 times out of 200 more spins.