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Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- As there are different roles, the order in which the students are chosen is important, hence, the <em>permutation </em>formula is used to solve this question.
Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
Desired outcomes:
- Nia's president.
- For the other roles, 3 students from a set of 23, hence:
Total outcomes:
4 students from a set of 24, hence:
Then:
0.0417 = 4.17% probability that Nia is chosen as president.
To learn more about probabilities, you can take a look at brainly.com/question/24437717