Practice problem

Probability: Selecting Without Replacement

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Contributors

Elise Molinaro
Joshua Siktar

5 Jelly-filled donuts, 8 cinnamon donuts, 7 Boston Cream donuts, 11 Chocolate glaze donuts, 9 vanilla glaze donuts, 4 strawberry donuts — Inventory at expii donut shop

Eric is ordering a half dozen donuts. What is the probability that he chooses $3$ chocolate glaze, $2$ Boston creams, and then a jelly-filled donut (in this order)?