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. Four are jelly-filled, 9 are lemon-filled,and 11 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting two jelly-filled donuts in a row.(Type an integer or a simplified fraction.)

Answer 1

select one donut

`(4)/(24)=(1)/(6)`

select another donut

`(3)/(23)`

then the probability to select two jelly-filled donuts:

`(1)/(6)+(3)/(23)=(23)/(138)+(18)/(138)=(23+18)/(138)=(41)/(138)`

answer: 41/138