Question

elizabeth brought a box of doughnuts to share. there are two-dozen (24) doughnuts in the box, all identical in size, shape and color. five are jelly-filled, 9 are lemon filled, and 11 are custard-filled. you randomly select one doughnut, eat it, and select another doughnut. find the probability of selecting two custard-filled doughnuts in a row.

Answer 1

First doughnut:
P(C)=11/24
Second donough given the first was custard-filled:
P(C)=(11-1)/(24-1)=10/23

Probability for both of them to be custard-filled, multiply the two probabilities
11/24*10/23=55/276