Question

An ice chest contains 5 cans of apple​ juice, 8 cans of grape​ juice, 4 cans of orange​ juice, and 8 cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Answer 1

14/575 or 0.002435

Explanation:

5 cans apple, 8 cans grape, 4 cans orange, 8 cans mango

5 + 8 + 4 + 8 = 25 cans in total

8 out of 25 are grape

next pick

7/24 are grape

last pick

6/23

probability of selecting three cans of grape juice in a row is:

8/25 x 7/24 x 6/23 = 14/575