Interpreting a probability question, tip requested

GRE Quant Problem Solving
1

Hello,

I cam across this question while studying:

A bag contains 6 black chips numbered 1-6 respectively and 6 white chips numbered 1-6 respectively. if pavel reaches into the bag of 12 chips and removes 2 chips, one after the other, without replacing them, what is the probability that he will pick black chip #3 and then white chip #3?

I got 11!/12! = 1/12

My answer is wrong but it answers a different question (what is the probability that he will pick W3 immediately after B3?)

When I read the question, I immediately thought that the question was asking about the probability that he will pick black chip #3 and then white chip #3, not “what’s the probability he picks B3 first and W3 second”.

What should I pay attention to in the future to avoid this mistake in interpretation?

2

This Statement: he will pick black chip #3 and then white chip #3
and This Statement: what’s the probability he picks B3 first and W3 second.

Both statements are same actually.
For both cases, Probability will go like this.

First Black#3 = 1/12
Second White#3 = 1/11

Hence probability = 1/12 * 1/11 = 1/(11*12) = 1/132