### 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 .28902 .30435 .69