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A spinner has five congruent sections numbered 1, 2, 3, 4, 5. Rahm made 50 spins of this spinner and recorded the outcomes in this table.

Outcome Number
1 12
2 10
3 9
4 11
5 8

What is the theoretical probability of the spinner stopping on 5? What is the experimental probability of the spinner stopping on 5?

A.
Theoretical - 20%
Experimental - 8%

B.
Theoretical - 20%
Experimental - 16%

C.
Theoretical - 20%
Experimental - 20%

D.
Theoretical - 16%
Experimental - 20%


Sagot :

Theoretically, the spinner will show the number "5" on a spin. This is because there are five likely possibilities (1, 2, 3, 4, 5). That makes the probability of a "5" to be 1/5 theoretically.

On 50 spins, a "5" will show up 1/5 * 50 = 10.
10/50 = 20%.
.
According to the chart of experimental results of tossing the spinner 50 times, a "5" showed up 8 times.

The experimental probability is 8/50 = 16%.

Option B