Answer:
34/69
Step-by-step explanation:
2 are jelly-filled
5 are lemon-filled
17 are custard-filled
Total: 24
<em>First drawing:</em>
There are 24 donuts in total, 17 of which are custard filled.
p1(custard filled) = 17/24
Second drawing:
There are now a total of 23 donuts, 16 of which are custard filled.
p2(custard) = 16/23
The two drawings are independent events, so the overall probability is the product of the individual probabilities.
Overall probability of drawing two custard filled donuts:
p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69