Question

Elizabeth brought a box of donuts to share. There are​ two-dozen (24) donuts in the​ box, all identical in​ size, shape, and color. Three are​ jelly-filled, 6 are​ lemon-filled, and 15 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.

Answer 1

Answer:0.760

Explanation:

Given

There are 24 donuts

out of which 3 are jelly-filled

6 are lemon-filled

15 are custard-filled

Probability of selecting two custard filled donuts in a row

Selecting one custard filled donut is
`^(15)C_1`

Selecting another custard filled donut
`^(14)C_1`

`Probability=(^(15)C_1* ^(14)C_1)/(^(24)C_2)`

`=(105)/(138)=0.760`