Question

Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section number 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. A winning spin is 2.

Find the the theoretical and experimental probabilities of winning, and compare the 2.
Theoretical Probability:_______
Experimental Probability:__________
Which is greater?:_______

Answer 1

Theoretical Probability: 33%

Experimental Probability: 25%

Which is greater?: Theoretical

Explanation:

If two out of the six sections are labeled as 2, you'd have a theoretical probability of
`(1)/(3)` or 33% of winning.

Based on Stacy's experiment results, the pointer landed on a winning spin 30 out of the 120 times it was spun. This makes the experimental probability
`(1)/(4)` or 25% of winning.

In this scenario, the theoretical probability is greater than the experimental probability.

Hope this helps~!