Question

A doctor may administer drug A or drug B to her/his patients. Drug A is used on all
patients except for the 10 % that show an allergic reaction to the drug. Ninety percent of
the patients treated with drug A recover, while 70% of the patients treated with Drug B
recover. a) Find the probability that a person will be treated with Drug A and will
recover. b) a person will be treated with Drug B and will not recover

Answer 1

Answer on Question #70945 – Math – Statistics and Probability

Question

A doctor may administer drug A or drug B to her/his patients. Drug A is used on all patients except for the 10 % that show an allergic reaction to the drug. Ninety percent of the patients treated with drug A recover, while 70% of the patients treated with Drug B recover. a) Find the probability that a person will be treated with Drug A and will recover. b) a person will be treated with Drug B and will not recover

Solution

a) $P(drug A \text{ and Recover}) = P(drug A) \times P(Recover | drug A) = 0.9 \times 0.9 = 0.81$.

b) $P(drug B \text{ and Not Recover}) = P(drug B) \times P(Not Recover | drug B) = 0.1 \times 0.3 = 0.03$.

Answer: a) 0.81; b) 0.03.

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