Chapter 13.6, Problem 41SPR

To determine

Design a simulation that can be used to estimate the probability that an athlete will play each of these sports.

Explanation of Solution

Given:

A survey at a high school found that 15% of the athletes at the school play only volleyball , 20% play only soccer, 30% play only basketball, and 35% play only football.

Calculation:

Step 1 :

Possible Outcomes	Theoritical Probability
Volleyball	15%
Soccer	20%
Basketball	30%
Football	35%

Step 2:

The simulation will consist of 100 trials.

Step 3:

We can use a spinner divided into four sectors :

one containing 15% of spinner’s area , second containing 20% of spinner’s area , third containing 30% of spinner’s area , and the fourth containing 35% of spinner’s area .Find the measurement of central angle of each sector.

Volleyball = $15\%\text{ of }360°=54°$ : Blue sector

Soccer = $20\%\text{ of 360}°\text{ = 72}°$ : Yellow sector

Basketball = $30\%\text{ of 360}°\text{ = 108}°$ :Sky Blue sector

Football = $35\%\text{ of 360}°\text{ = 126}°$

: Red sector

Step 4:

A trial means one spin on the spinner , represents the sport .

The simulation will consist of 100 trials.

Perform 100 trials and record the result.