Question

An ice chest contains 6 cans of apple juice, 3 cans of grape juice, 8 cans of orange juice, and 2 cans of pineapple juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting no grape juice.

Answer 1

Pr(not getting grape on first pick)
x
Pr(not getting grape on second pick (given you didn't pick grape on the first pick))
x
Pr( not getting grape on the 3rd pick(given you didn't pick grape on picks 1 and 2))

Answer 2

first reach : P(no grape juice) = 16/19
2nd reach its 15/18
3rd its 14/17

these are multiplied to get the answer