Using the probability concept, it is found that there is a [tex]\frac{2}{15}[/tex] probability a student selects a prop, does not replace it, and another student selects a costume.
What is a probability?
- A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
- Initially, there are 11 + 16 + 13 = 40 options, of which 16 are props, hence the probability that the first student selects a prop is [tex]P(A) = \frac{16}{40} = \frac{2}{5}[/tex].
- No replacement, hence 13 of the 39 options will be costumes, hence the probability another student selects a costume is [tex]P(B) = \frac{13}{39} = \frac{1}{3}[/tex].
Then:
[tex]p = P(A)P(B) = \frac{2}{5} \times \frac{1}{3} = \frac{2}{15}[/tex]
[tex]\frac{2}{15}[/tex] probability a student selects a prop, does not replace it, and another student selects a costume.
To learn more about the probability concept, you can take a look at https://brainly.com/question/15536019
