To find the experimental probability of selling a cake donut, we need to divide the number of cake donuts sold by the total number of donuts sold.
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First, we find the total number of donuts sold:
- Jelly-filled donuts: 3
- Cake donuts: 2
- Cream-filled donuts: 5
Total = 3 + 2 + 5 = 10
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Next, we find the probability of selling a cake donut:
- Number of cake donuts sold: 2
Therefore, the probability \( P(cake , donut) \) is: \[ P(cake , donut) = \frac{\text{Number of cake donuts sold}}{\text{Total number of donuts sold}} = \frac{2}{10} \]
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We can simplify the fraction: \[ P(cake , donut) = \frac{1}{5} \]
Thus, the experimental probability that the next donut sold will be a cake donut is \( \frac{1}{5} \).