Question

the table shows the number of games a team won and lost last season.

wins and losses last season

	number of games
wins	24
losses	16

greg has tickets to six of the teams games this season. he is designing a simulation, using last years 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?

• a coin with one side representing a win and the other representing a loss
• a 6 - section spinner with congruent sections, 4 representing a win and 2 representing a loss
• a 5 - section spinner with congruent sections, 3 representing a win and 2 representing a loss
• an 8 - sided die with 5 sides representing a win and 3 sides representing a loss

Explanation:

Step1: Calculate total games

$24 + 16 = 40$

Step2: Find win/loss ratio

Wins: $\frac{24}{40} = \frac{3}{5}$, Losses: $\frac{16}{40} = \frac{2}{5}$

Step3: Match ratio to options

Check which tool has a 3:2 win-loss split.

Answer:

a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss