If a student is selected at random from this class, what is the probability that

Question

If a student is selected at random from this class, what is the probability that the student is either a nonsmoker or male? The answer is a but I do not know how to get there

12. In a large class with n = 200 students at a certain university, 40% of the students are female, 25% of all students smoke, 5% are female and smokers. The table below summarizes this information. | Smoking Status ! Smoker Nonsmoker Total Gender | Male () Female (2) 120 10 10 ... 80 Total 50 150 200 If a student is selected at random from this class, what is the probability that the student is either a nonsmoker or male? (a) 0.95 (b) 0.85 (C) 0.55 (d) 0.65 (e) 0.15

Explanation / Answer

The completed table is as above. Missing data is in Bold.

To find the Probability that the student is a non smoker or a male

= (Non Smoker) + (Male) - (non smoker and Male) (as this is counted twice)/ Total number of students

= (150 + 120 - 80)/200

= 190/200 = 0.95 (Option A)

Smoker Non smoker Total Male 40 80 120 Female 10 70 80 Total 50 150 200

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