You conducted three medical studies, to test the efficiency of anew drug. There

Question

You conducted three medical studies, to test the efficiency of anew drug. There were 100 participants between the three studies, with 30 participants in study A, 20 participants in study B, and 50 participants in study C. At the end of the study you assessed each participants conditions, in study A, 18 out of the 30 participants saw improvement in their condition, 12 out of 20 participants in study B saw improvement in their condition, and 30 out of 50 participants in study C saw an improvement in their condition.

a) What is the probability that a participant was in study B?

b) What is the probability that a participant saw an improvement given they were in study B?

c) What is the probability that a participant was in study C?

d) What is the probability that a participant saw an improvement given they were in study C?

c) What is the probability that a participant was in study A?

d) What is the probability that a participant was in study A given that participant's condition did not improve?

Explanation / Answer

a) probability that a participant was in study B =20/100=0.2

b)probability that a participant saw an improvement given they were in study B =12/20=0.6

c) probability that a participant was in study C =50/100=0.5

d)probability that a participant saw an improvement given they were in study C=30/50=0.6

e)probability that a participant was in study A=30/100=0.3

f)probability that a participant was in study A given that participant's condition did not improve =12/40=0.3

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