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Probability Question: A company sells two types of cakes: Banana cake and Carrot cake. The cake sales breakdown is 70% Banana and 30% Carrot cake.

Probability Question: A company sells two types of cakes: Banana cake and Carrot cake.

The cake sales breakdown is 70% Banana and 30% Carrot cake. Of the Banana cakes, 50% are purchased by men. Of the Carrot cakes, only 20% are purchased by men. If a woman purchases a cake, what is the probability that it is a Carrot cake?

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