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

Answer:

B is the answer

Step-by-step explanation:

That is 10.95%

Answer 2

The experimental probability of the spinner showing a result of violet, written as a percentage to two decimal places is given by: Option B: 11.95%

What is experimental probability?

Experimental probability calculates the probability of some event from the results of experiments.

For an event E, we get the experimental probability of that event

$P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}$

where, $P_e(E)$ is denoting experimental probability of occurrence of E.

Trial      Times Spun Times Violet

1               85                10

2              156                18

3              34                 2

4             127                14

Total        402              44

Let E = event that in a spin, color violet is the outcome.

Then, as there are 44 times occurrence of E in 402 experiments, so we get:

$P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}} = \dfrac{44}{402} \approx 0.1195 = 11.95\%$

Thus, the experimental probability of the spinner showing a result of violet, written as a percentage to two decimal places is given by: Option B: 11.95%

Learn more about experimental probability here:

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