Suppose a bag contains 7 blue chips and 3 gold chips. What the probability randomly choosing a gold chip, not replacing it, and then randomly choosing another gold chip?
There are 10 chips in total.
On the first draw, there are 3 gold chips and so the probability of choosing a gold chip is:
We don't replace the chip, and so now there are 2 gold chips and 9 chips total. We draw again for a gold chip:
The probability then of drawing 2 gold chips in a row is: