A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioning systems:

The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability

(a) That failure involves a gas leak

(b) That there is evidence of electrical failure given that there was a gas leak

(c) That there is evidence of a gas leak given that there is evidence of electrical failure

evidence of gas leaks yes no evidence of electrical failure yes 55 17 no 32 3