Three drugs are being tested for use as the treatment of a certain disease.

Question

Let p 1 , p 2 , and p 3 represent the probabilities of success for the respective drugs.As three patients come in, each is given one of the drugs in a random order. After n = 10 “triples” and assuming independence, compute the probability that the maximum number of successes with one of the drugs exceeds eight if in fact p1=p2=p3=0.7.

Answer 1

Three drugs are being tested for use as the treatment of a certain disease.
Let p 1 , p 2 , and p 3 represent the probabilities of success for the respective drugs.As three patients come in, each is given one of the drugs in a random order. After n = 10 “triples” and assuming independence, compute the probability that the maximum number of successes with one of the drugs exceeds eight if in fact p1=p2=p3=0.7.