To find the probability that a randomly chosen person on the bus is either an adult chaperone or a male student, we need to follow these steps:
1. Calculate the total number of people on the bus:
- Number of adult chaperones: [tex]\(6\)[/tex]
- Number of female students: [tex]\(21\)[/tex]
- Number of male students: [tex]\(23\)[/tex]
Adding all these together gives the total number of people:
[tex]\[
6 + 21 + 23 = 50
\][/tex]
2. Determine the number of people who are either adult chaperones or male students:
- Number of adult chaperones: [tex]\(6\)[/tex]
- Number of male students: [tex]\(23\)[/tex]
Adding these together gives:
[tex]\[
6 + 23 = 29
\][/tex]
3. Calculate the probability:
The probability is the number of favorable outcomes (people who are either adult chaperones or male students) divided by the total number of possible outcomes (total number of people on the bus).
[tex]\[
\text{Probability} = \frac{\text{Number of adult chaperones or male students}}{\text{Total number of people}} = \frac{29}{50}
\][/tex]
Thus, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is [tex]\( \frac{29}{50} \)[/tex].
So, the correct answer is:
[tex]\[
\boxed{\frac{29}{50}}
\][/tex]
