Certainly! Let's solve this problem step-by-step.
1. Determine the total number of people on the bus:
- Number of adult chaperones: 6
- Number of female students: 21
- Number of male students: 23
Total number of people on the bus = 6 (chaperones) + 21 (female students) + 23 (male students)
[tex]\[
\text{Total people on the bus} = 6 + 21 + 23 = 50
\][/tex]
2. Determine the number of favorable outcomes:
We need to find the number of people who are either adult chaperones or male students.
- Number of adult chaperones: 6
- Number of male students: 23
The number of people who fall into either category = 6 (chaperones) + 23 (male students)
[tex]\[
\text{Favorable outcomes} = 6 + 23 = 29
\][/tex]
3. Calculate the probability that a randomly chosen person is an adult chaperone or a male student:
The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
[tex]\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of people}}
\][/tex]
Substituting the numbers we found:
[tex]\[
\text{Probability} = \frac{29}{50}
\][/tex]
So, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is [tex]\(\frac{29}{50}\)[/tex].
Thus, the correct answer is [tex]\( \boxed{ \frac{29}{50} } \)[/tex].
