Probability question

Question

Elizabeth brought a box of donuts to share. There are two dozen donuts all identical size shape and color. 5 are jelly filled, 9 are lemon filled and 10 are custard filled. You randomly select one donut, eat it and select another donut. Find the probability of selecting a custard donut followed by a lemon filled donut.

Answer 1

10/24 * 9/23 = 5/12 * 9/23 = 5/4 * 3/23 = 15/92