I need a refresher on how to get probabilities?

"Two people are selected at random from a group of 6 pilots and 4 engineers. What is the probability that both of them are engineers?"

Question

I need a refresher on how to get probabilities?

"Two people are selected at random from a group of 6 pilots and 4 engineers.  What is the probability  that both of them are engineers?"

anonymous · Answer

Nobody even has to solve this completely for me, just remind me how to do it.

kropot72 · Answer

The probability that the first person selected is an engineer is 4/10.
The probability that the second person selected is an engineer is 3/9.
The required probability is the product of the above two values of probability.

anonymous · Answer

So I would multiply 4/10 and 3/9, and the probability would be 12/90 simplified to 2/15?

kropot72 · Answer

@TammisaurusRex You are correct :)