Computer purchase from Simon\'s Surplus will experience hard drive failures with

Question

Computer purchase from Simon's Surplus will experience hard drive failures with probability 0.3 and memory failures with probability 0.2 and will experience both types of failures simultaneously with probability 0.1. What is the probability that there will be one type of failure, but not the other? What is the probability that there will be no failures of either kind. Use the algebra of events to writing expression for the desired events and the rules of probabilities for these event expressions.

Explanation / Answer

A: hard drive fails

B: memory fails

P(A)= 0.3

P(B)= 0.2

P(A and B)= 0.1

A) P(A and not B)+ P(B and not A)= (0.3-0.1)+(0.2-0.1)= 0.3

B) P(No failure)= 1-P(A or B)= 1-(0.3+0.2-0.1)= 0.6

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