Question

Х

Answer 1

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 number of desired outcomes divided by the number of total outcomes.

• As there are different roles, the order in which the students are chosen is important, hence, the permutation 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:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

Desired outcomes:

• Nia's president.

• For the other roles, 3 students from a set of 23, hence:

$D = P_{23,3} = \frac{23!}{20!} = 10626$

Total outcomes:

4 students from a set of 24, hence:

$T = P_{24,4} = \frac{24!}{20!} = 255024$

Then:

$p = \frac{D}{T} = \frac{10626}{255024} = 0.0417$

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