Question

You have a spinner, shown below. You wish to test its fairness, so you conduct several trials in which you repeatedly spin the spinner and record how many times you come up with a result of violet. Your results are shown in the table next to the spinner.
A spinner with 9 equal sections. The spots are black, red, orange, yellow, green, aqua, blue, purple, white.
Trial
1
2
3
4
Times Spun
85
156
34
127
Times Violet
10
18
2
14

Calculate the experimental probability of your spinner showing a result of violet, written as a percentage to two decimal places.
a.
10.05%
b.
10.95%
c.
11.02%
d.
11.11%

Answer 1

Total violet = 10+18+2+14 = 44.
Total spins = 85+156+34+127 = 402.
Experimental probability = 44/402 ≈ 0.1094527 = 10.95% (to two decimal places).

Answer: b. 10.95%