Question 62 • Concepts in Probability and Statistics A
The table shows the number of games a team won and lost last season. Wins and Losses Last Season Number of GamesWins24Losses16Greg has tickets to six of the team’s games this season. He is designing a simulation, using last year’s wins and losses, to predict whether the team will win or lose each of the games he attends.Which tool is most appropriate for use in a simulation that fits the data?
Answer
A
a coin with one side representing a win and the other representing a loss
B
a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss
C
a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss
D
an 8-sided die with 5 sides representing a win and 3 sides representing a loss
Explanation
Last season, the team won 24 of 40 games, so the win proportion was 24/40 = 3/5. The loss proportion was 16/40 = 2/5. A 5-section spinner with 3 sections for wins and 2 for losses matches those proportions, so the most appropriate tool is the 5-section spinner.
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