Prakash has 3 pairs of shoes; each pair is a different color. If Prakash randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?
Answers:
A) 2/5	B) 1/5	C) 1/9	D) 1/10	E) 1/25
Can be tackled in this way as well: Probability of selecting any 1 out of 6 shoes = 6/6= 
<gadget id="calculator">6/6</gadget>
<output>1</output>
1   Probability of selecting the next shoe (out of 6 available) having the same color= 1/5 (as after selecting the 1st one, there is only 1 another shoe left with the same color).   Thus the total probability = 1*1/5=1/5.   1/5 is the correct answer.
<result>B</result>
Prakash has 3 pairs of shoes; each pair is a different color. If Prakash randomly selects 2 shoes without replacement from the 6 shoes, what is the probability that she will select 2 shoes of the same color?