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
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