Question 1041971: Amanda and Dirk are renting in‐line skates for a day in the park. They both take the same size shoe, and there are 4 pairs remaining in their size. Unbeknownst to them, 2 of the pairs of skates have defective bearings. If they randomly choose 2 pairs, what is the probability they will both get a pair of skates that are not defective?
(List all of the outcomes of the sample space.)
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! Let  and  be the two non-defective pair of skates, and  and  the two defective pairs of skates.
Then the sample space is
{ { , }, { , }, { , }, { , }, { , }, { , } }.
The probability that they will both get a pair of skates that are not defective is then 1/6.
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