Basic Probability: choosing without replacement

[lunds002]

Homework Statement

A box contains 22 red apples and 3 green apples. 3 apples are selected at random, one after the other, without replacement.

(a) The first two apples are green. What is the probability that the 3rd apple is red?

Homework Equations

The Attempt at a Solution

well if the first two are green, that means 2 of the 25 total apples are gone, so 23 remain. You have 22 red apples to choose from out of a total of 23.

Thus, I got P= 22/23

Correct?

 

[jbunniii]

That's correct.