Medical researchers testing out a new drug were interested in the potential risks of serious side effects. The drug was given at two different dosages (100 mg and 200 mg), or a placebo (a "sugar pill" containing no actual medicine). Their results are summarized in the table below. Use the data in this table to answer questions 1 - 5. Serious Side Effects

	No	Yes	Total
100mg	53	12	65
200mg	91	20	111
Placebo 105	105	15	120
Total	249	47	296

Using the information in the table, find the probability that a patient selected at random: a. Had serious side effects. b. Was taking a placebo or had no serious side effects. c. Was taking 200 mg and experienced serious side effects. d. Experienced serious side effects given that they were taking 200 mg. e. Experienced serious side effects given that they were taking a placebo.