Select the correct answer.

There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.

What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student?

A. [tex]\frac{1}{2}[/tex]

B. [tex]\frac{2}{3}[/tex]

C. [tex]\frac{29}{50}[/tex]

D. [tex]\frac{1}{29}[/tex]



Answer :

To determine the probability that a randomly chosen person on the bus is either an adult chaperone or a male student, we follow these steps:

1. Calculate the total number of people on the bus:
- There are 6 adult chaperones.
- There are 21 female students.
- There are 23 male students.
- The total number of people is:
[tex]\[ 6 + 21 + 23 = 50 \][/tex]

2. Identify the number of favorable outcomes:
- The favorable outcomes are those who are either adult chaperones or male students.
- Number of adult chaperones = 6
- Number of male students = 23
- Total number of people who are either adult chaperones or male students:
[tex]\[ 6 + 23 = 29 \][/tex]

3. Calculate the probability:
- Probability is defined as the number of favorable outcomes divided by the total number of possible outcomes.
- The number of favorable outcomes = 29.
- The total number of people on the bus = 50.
- Therefore, the probability is:
[tex]\[ \frac{29}{50} \][/tex]

Thus, the correct answer is [tex]\( \frac{29}{50} \)[/tex], which corresponds to option C.