Fuarock 87 Industries is a company that makes cans of chili

Fuarock 87 Industries is a company that makes cans of chili (with beans). When a can is ready to be packaged, the probability it is dented is .06 and the probability it is punctured is .02. It is known that the events “can is punctured” and “can is dented” are independent. Find the probability that a can is not dented and is not punctured.

Solution

P(can punctured) =0.02; P(can dented ) =0.06

P(not punctured) =1-0.02 =0.98; P(not dented ) =1-0.06 = =0.94

P(not punctured and not dented ) = 0.98*0.94 (since these are independent)

P(not punctured and not dented ) = 0.98*0.94 =0.9212