An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A), and that 21% were both male and between the ages of 18 and 20. What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P (F) = P (not M). Your answer should be given to two decimal places.

Question

Dylan Frost

Mathematics

9 January, 12:49

An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A), and that 21% were both male and between the ages of 18 and 20. What is the probability of choosing a random student who is a female or between the ages of 18 and 20? Assume P (F) = P (not M). Your answer should be given to two decimal places.

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Answers (1)

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Ellis Ryan · Answer 1

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

18-20 Not 18-20 Total

Male 0.23 0.35 0.58

Female 0.16 0.26 0.42

Total 0.39 0.61 1

P (female or between 18-20) = P (female) + P (18-20) - P (Female and 18-20)

P (female or between 18-20) = 0.42+0.39-0.16

P (female or between 18-20) = 0.65

Hence, our required probability is 0.65.