Question

At a community swimming pool, there are 2 managers, 8 lifeguards, 3 concession stand clerks, and 2 maintenance people. If a person is selected at random, find the probability that the person is either a lifeguard or a manager. (Write your answer as a percent, rounded to the nearest tenth.)

a. 41.7%.
b. 50.0%.
c. 58.3%.
d. 66.7%.

Answer 1

To calculate the probability of randomly selecting a lifeguard or a manager, you sum their numbers (10) and divide by the total staff (15), then multiply by 100. The probability is 66.7%, matching option (d).

Step-by-step explanation:

The question involves calculating the probability of selecting a person who is either a lifeguard or a manager from the total staff at a community swimming pool. To find this probability, you add the number of lifeguards and managers together and then divide by the total number of staff members. The total staff is the sum of managers, lifeguards, concession stand clerks, and maintenance people.

The calculation is as follows:

1. Calculate the total number of staff: 2 managers + 8 lifeguards + 3 concession stand clerks + 2 maintenance people = 15 staff members.
2. Add the number of managers and lifeguards: 2 managers + 8 lifeguards = 10 people.
3. Divide the number of lifeguards and managers by the total staff and multiply by 100 to get the percentage: (10 / 15) * 100 = 66.7%.

Therefore, the probability that a person selected at random is either a lifeguard or a manager is 66.7%, which corresponds to option (d).