Suppose a bag has 4 white chips and 6 black color chips. What is the probability the randomly picking a white chip, no replacing it, and then randomly choosing another white chip?

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

There are originally #4+6=10# chips in the bag, so the probability of the an initial chip attracted being white is:

#4/10 = 2/5#

Having drawn a white chip there space then #3# white chips left in the bag the end of a full #3+6=9# chips. Therefore the probability that the 2nd 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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