An engineering school reports that 52% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A), and that 27% are both male and between the ages of 18 and 20. What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20?

Question

Mathematics

Immanuel Stephens

2 May, 00:35

An engineering school reports that 52% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A), and that 27% are both male and between the ages of 18 and 20. What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20?

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Answers (1)

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Lilly · Answer 1

42%

Step-by-step explanation:

Given: P (M) = 0.52, P (A) = 0.33, and P (M and A) = 0.27.

Find: P (not M and not A).

P (not M and not A) = 1 - P (M or A)

P (not M and not A) = 1 - (P (M) + P (A) - P (M and A))

P (not M and not A) = 1 - (0.52 + 0.33 - 0.27)

P (not M and not A) = 1 - 0.58

P (not M and not A) = 0.42