To find the probability that a randomly chosen person on the bus is either an adult chaperone or a male student, let's break down the problem step by step:
1. Determine 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]
- Total people on the bus: [tex]\(6\)[/tex] (adult chaperones) [tex]\(+ 21\)[/tex] (female students) [tex]\(+ 23\)[/tex] (male students) = [tex]\(50\)[/tex]
2. Identify the number of favorable outcomes:
- Favorable outcomes are either adult chaperones or male students.
- Number of adult chaperones: [tex]\(6\)[/tex]
- Number of male students: [tex]\(23\)[/tex]
- Total favorable outcomes: [tex]\(6\)[/tex] (adult chaperones) [tex]\(+ 23\)[/tex] (male students) = [tex]\(29\)[/tex]
3. Calculate the probability:
- Probability [tex]\(P\)[/tex] is the ratio of the number of favorable outcomes to the total number of outcomes, which is given by:
[tex]\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{29}{50}
\][/tex]
Therefore, the probability that a randomly chosen person on the bus is an adult chaperone or a male student is [tex]\(\frac{29}{50}\)[/tex].
The correct answer is:
C. [tex]\(\frac{29}{50}\)[/tex]
