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