Question

9.2.11

E
Question Help
Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape and color. Two are jelly-filled, 5 are lemon-filled,
and 17 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting two custard-filled donuts in a row.
(Type an integer or a simplified fraction.)

Answer 1

34/69

Explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

First drawing:

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