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 19 blue 7 green 20 yellow 14 purple 6 if the spinner is spun 80 more times, about how many of those times would you expect to land on blue? round your answer to the nearest whole number.

Explanation:

Step1: Calculate total spins

Find the sum of all frequencies. $19 + 7+20 + 14+6=66$

Step2: Calculate probability of landing on blue

The probability $P$ of landing on blue is the frequency of blue divided by the total number of spins. $P=\frac{7}{66}$

Step3: Calculate expected number of blue - landings

Multiply the probability of landing on blue by the number of additional spins. If we spin 800 more times, the expected number of times it lands on blue is $E = \frac{7}{66}\times800=\frac{5600}{66}\approx85$

Answer:

85