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Probabilities Applied to Sodas

I am having problems with this question:
Super Colas sales break down as 80% regular soda and 20% diet soda. While 60% of the regular soda is purchased by men, only 30% of the diet soda is purchased by men. If a woman purchases Super Cola, what is the probability that it is a diet soda?

The choices are

Solution Summary

This solution does step-by-step calculations to determine the probability of the woman purchasing a diet soda. All formulas used are included.