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Korvikt [17]
2 years ago
13

Х

Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0

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:

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

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