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?

Here is the complete 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?

Theoretical probability

P (red) = 1/8 = 12.5%

Experimental probability

(?) / 324 = (?) %

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

There were (?) winners than expected.

Answer:

Experimental probability = 13.27%

The experimental probability is 0.77% more than the theoretical probability,

There were approximately 2.5 more winners than expected

Step-by-step explanation:

Given that;

The Theoretical probability = 1/8 = 12.5%

The total number of players = 324 players

From these two data set; it is possible to determine the numbers of the theoretical winners by basically multiplying the Theoretical probability by the total number of players.

i. e 12.5% * 324 players

0.125 * 324 players = 40.5 players

However; we know that Talia and Yoshi recorded 43 winners out of a total of 324 players

So;

number of recorded winners = 43

the total players = 324

The Experimental Probability can be calculated by dividing the number of recorded winners with the total number of players and multiplying the fraction by 100.

i. e

Experimental Probability = (Numbers of recorded winners / Total Number of players ·) * 100

Experimental Probability = (43/324) * 100

Experimental Probability = 0.1327 * 100

Experimental Probability = 13.27%

The difference in comparison between Experimental and Theoretical Probability is = 13.27% - 12.5% = 0.77%

The actual number of winners compare to the expected number of winners is: number of recorded winners - the numbers of the theoretical winners

= 43 - 40.5

= 2.5