Question

Rick kept track of wins and losses for each game attempt in the following table.

Game Number of Wins Number of Losses
Get-It-Rolling (A) 26 173
Bag-of-Tokens (B) 54 141
Pick-Your-Tile (C) 17 175

Select the correct statement.

A.
The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.
B.
Only the results from game B align closely with the theoretical probability of winning that game.
C.
Only the results from game A align closely with the theoretical probability of winning that game.
D.
The results from both game B and game C align closely with the theoretical probability of winning those games, while the results from game A do not.

Answer 1

The results from both game A and game C align closely with the theoretical probability of winning those games, while the results from game B do not.

Explanation:

Given the data:

Game Number of Wins Number of Losses

Get-It-Rolling (A) 26 173

Bag-of-Tokens (B) 54 141

Pick-Your-Tile (C) 17 175

EXPERIMENTAL PROBABILITY:

Game A :

Number of games played = 26 + 173 = 199

Experimental probability :

Probability of winning = number of wins / number of games played = 26 / 199 = 0.1306

Theoretical probability :

1 / 8 = 0.125

Game B :

Number of games played = 54 + 141 = 195

Experimental Probability of winning = number of wins / number of games played = 54 / 195 = 0.2769

Theoretical probability = 1 / 7 = 0.1429

Game C :

Number of games played = 17 + 175 = 192

Experimental Probability of winning = number of wins / number of games played = 17 / 192 = 0.0885

Theoretical probability = 1 / 12 = 0.08333

From the results, we can see that the results from both game A and game C align closely with the theoretical probability of winning those games.