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 12 blue 7 green 20 yellow 14 purple 6 if the spinner is spun 800 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 frequency

$12 + 7+20 + 14+6=59$

Step2: Calculate probability of landing on blue

The probability $P$ of landing on blue is the frequency of blue divided by the total frequency. So $P=\frac{7}{59}$

Step3: Calculate expected number of times landing on blue in 800 spins

Multiply the probability by 800. $E = \frac{7}{59}\times800=\frac{5600}{59}\approx95$

Answer:

95