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Answer :
Final answer:
To find the fraction of cakes with both chocolate frosting and raspberry filling, you multiply 1/4 (fraction with chocolate frosting) by 1/2 (fraction of those with raspberry filling), resulting in 1/8 of the cakes having both.
Explanation:
The student has asked: What fraction of the cakes at Annie's Bakery have both chocolate frosting and raspberry filling? To find this, we multiply the two probabilities since the events are independent. First, we know that 1/4 of the cakes have chocolate frosting. Of these, 1/2 have raspberry filling. So, to find the fraction of cakes that have both chocolate frosting and raspberry filling, we multiply the fractions:
(1/4) × (1/2) = 1/8.
Therefore, 1/8 of the cakes at Annie's Bakery have both chocolate frosting and raspberry filling.
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