Kim has 9 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 18 shoes, what is the probability that she will select 2 shoes of the same color? Choose the correct answer.
A) 2/5  B) 11/5  C) 1/9  D) 1/17  E) 1/5
Can be tackled in this way as well: Probability of selecting any 1 out of 10 shoes = 18/18= 
<gadget id="calculator">18/18</gadget>
<output>1</output>
1   Probability of selecting the next shoe (out of 18 available) having the same color= 1/18 (as after selecting the 1st one, there is only 1 another shoe left with the same color).   Thus the total probability = 1*1/17=1/17.   1/17 is the correct answer.
<result>D</result>
Kim has 9 pairs of shoes; each pair is a different color. If Kim randomly selects 2 shoes without replacement from the 18 shoes, what is the probability that she will select 2 shoes of the same color?