3. + -16 points 0 My Notes Ask Your Teac Tom and Alice work independently in an

Question

3. + -16 points 0 My Notes Ask Your Teac Tom and Alice work independently in an attempt to solve a certain problem (.e. whether one of them solves it does not affect the chances that the other will solve ). The probability that Tom solves the problem is 0.2 and the probability that Alice solves the problem is 0.4 (a) What is the probability that the problem will be solved by at least one person? (b) If you find out later that the problem has been solved by at least one person, what is the conditional probability that Tom solved it?

Explanation / Answer

a) P( At least solve problem) = 1-(1-0.2)*(1-0.4)

P( At least solve problem) = 0.52

b) P( Tom solved it/At least one solve Problem) = 0.2/0.52 = 0.3846

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