Question

During the second day of the school fair, Talia and Yoshi recorded 43 winners out of a total of 324 players. How does the actual number of winners compare to the expected number of winners?

Theorical probability

P ( red ) = 1/8 = 12.5%

Experimental probability

( ? )/324 = ( ? )%

This experimental probability is ( ? ) than the theoretical probability.

There were ( ? ) winners than expected.

Answer 1

The experimental probability is 0.8% more than the theretical probability,

There were approximately 2 more winners than expected

Explanation:

Theoretical Probability is given by = 1/8 = 12.5%

Which means that out of 324 players, numbers of winners theoretically are = 0.125 · 324 = 40.5 ≅ 41

To find the probability of experimental data, we have to consider the data recorded by Talia and Yoshi

Recorded winners = 43

Total players = 324

Experimental Probability = Numbers of winners/ Total Number of players · 100

Experimental Probability = 43/321 · 100 = 13.3%

The difference between Experimental and Theoretical Probability is = 13.3% - 12.5% = 0.8%

Difference of Winners ≅ 43 - 40.5 ≅ 2