Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. 6 are jelly-filled, 10 are lemon-filled, and 8 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. Write your answer as a fraction in simplest form.

Question

Mathematics

Julie Boyd

4 February, 07:38

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color. 6 are jelly-filled, 10 are lemon-filled, and 8 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. Write your answer as a fraction in simplest form.

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Answers (1)

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Jaydon Armstrong · Answer 1

The probability of the first selection being custard-filled is 8/24. If a custard-filled donut was selected first, there are 7 custard-filled donuts remaining among a total of 23 donuts. Therefore the probability of the second selection being a custard - filled donut is 7/23. The required probability is therefore:

(8/24) x (7/23) = 7/69

The answer is 7/69