A bag contains 6 bottles of apple juice & 8 grape juice. You choose a bottle without looking, put it aside, and then choose another bottle.?

The probability that you pick a bottle of apple juice on the first pick is (# of apple juice) / (total # of bottles). Both numbers are given.

Now there's one less total # of bottles. The probability that you pick a bottle of grape juice on the second pick is (# of bottles of grape juice) / (new total # of bottles).

Write down those fractions.

The probability that both these things happen is the product of the probabilities.