A group of 80 runners participates in two 10 kilometer races: A and B. Based on

Question

A group of 80 runners participates in two 10 kilometer races: A and B. Based on their previous history, they run a good race if they run more than two minutes faster than their personal best time before the two races. In case they run their first or second race, it is always a good race if they get to the finish. The results of all runners can be summarized as follows: Let T denote the event that a runner has a good race A, and let S denote the event that a runner has a good race B. If a runner is selected at random, determine the following probabilities:

Explanation / Answer

As per Chegg guidelines I will be answering the first question,

It is given that p(A/B)=0.3 and p(B)=0.6

We need to find p(A B)=p(A/B)*p(B) =0.18

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