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Answer :
Final answer:
To determine the fraction of cakes with both chocolate frosting and raspberry filling at Collin's bakery, you multiply 1/2 by 3/16, which results in 3/32 of the cakes having both features.
Explanation:
To find the fraction of cakes at Collin's bakery that have both chocolate frosting and raspberry filling, we need to multiply the two probabilities together. Half of the cakes have chocolate frosting, and 3/16 of those have raspberry filling. To calculate the fraction of cakes with both, we multiply 1/2 (chocolate frosting) by 3/16 (raspberry filling within chocolate frosted cakes).
The math is: 1/2 × 3/16 = 3/32.
Therefore, 3/32 of the cakes at Collin's bakery have both chocolate frosting and raspberry filling.
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