Statistics
posted by Brandon on .
A box contains five red, three blue, and two white poker chips. Two are selected without replacement. For example, BR is a possible outcome representing the first is blue and the second is a red. BR and RB are different outcomes.
a. list the sample space.
b. find the probability that both are the same color.

The sample space is the set of all possible outcomes of an experiment.
So, I believe the sample space is:
RR, RB, RW, BB, BR, BW, WW, WR, WB
There are 10choose2 = 45 possible draws of two chips. There 5choose2 =10 ways to choose 2 red chips. There are 3choose2 ways=3 to pick 2 blue chips, and 2choose2=1 ways to pick 2 white chips. Probability both chips are the same color is (10+3+1)/45 = 31.1%
The number of ways to draw