An allergy drug is tested by giving 120 people the drug and 100 people a placebo. A control group consists of 80 people who were given no treatment. The number of people in each group who showed improvement appears in the table below.

a. What is the probability that a randomly selected person in the study was given either the drug or the placebo?
b. What is the probability that a randomly selected person either improved or did not improve?
c. What is the probability that a randomly selected person either was given the drug or improved?
d. What is the probability that a randomly selected person was given the drug and improved?

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Improvement No improvement Tota Allergy drug Placebo ControlTotal 138 162 300 42 58 100 31 49 80 65 120