Suppose a bag contains 4 white chips and 6 black chips. What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip?

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Jun 16, 2016

Answer:

#2/15#

Explanation:

There are initially #4+6=10# chips in the bag, so the probability of the first chip drawn being white is:

#4/10 = 2/5#

Having drawn a white chip there are then #3# white chips left in the bag out of a total #3+6=9# chips. So the probability of the second chip also being white is:

#3/9 = 1/3#

So the probability of drawing two white chips is:

#2/5 * 1/3 = 2/15#

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