(2. Two male and three female paticnts are included in a small study for testing

Question

(2. Two male and three female paticnts are included in a small study for testing a new drug. There is no conncction between any of the paticnts. The probability of responding to the drug is 0.2 for males and 0.4 for females. Two patients are randomly selected without replaccment. (a) What is the probability that two female patients are selected? What is the probability that paticnts of different gender are selected? (b) What is the probability that both patients selected will respond to the drug?

Explanation / Answer

2)a) P(two female are selected) = 3C2/5C2 = 0.3

P(patients of different genders are selected) = 2C1 * 3C1/5C2 = 0.6

B) P(both patients selected will respond to the drug) = 0.2 * 0.2 + 0.4 * 0.4 + 0.2 * 0.4 = 0.44

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