SOLUTION: A designer is creating a store window display from 3 pairs of pants (black, brown, blue); 2 shirts (black and blue); and 3 pairs of shoes (black, brown, blue) that are available to

Question 1112837: A designer is creating a store window display from 3 pairs of pants (black, brown, blue); 2 shirts (black and blue); and 3 pairs of shoes (black, brown, blue) that are available to choose from. What is the probability that the outfit consists entirely of the same color if the components are chosen randomly?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

All black:
All brown:
All blue:

All the same color:
Answer: 1/9 probability that all are the same color.

---------------------------------
OR...

3*2*3=18 possible combinations total;
2 combinations with all the same color (black or blue);
probability that all are the same color: 2/18 = 1/9
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