contestada

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.

Respuesta :

Answer:0.760

Step-by-step 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 [tex]^{15}C_1[/tex]

Selecting another custard filled donut [tex]^{14}C_1[/tex]

[tex]Probability=\frac{^{15}C_1\times ^{14}C_1}{^{24}C_2}[/tex]

[tex]=\frac{105}{138}=0.760[/tex]

Otras preguntas