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?

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Apr 20, 2017

Answer:

#3/10xx2/9=6/90=1/15#

Explanation:

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:

#P_1=3/10#

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:

#P_2=2/9#

The probability then of drawing 2 gold chips in a row is:

#3/10xx2/9=6/90=1/15#

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