A box contains 100 pairs of shoes (200 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
Options
A) 1/190 B) 1/20 C) 1/199 D) 1/10 E) 1/9
The problem with your solution is that we don't choose 1 shoe from 200, but rather choose the needed one AFTER we just took one and need the second to be the pair of it. So, the probability would simply be: 1/1*1/199(as after taking one at random there are 199 shoes left and only one is the pair of the first one)=1/199   Answer: 1/199.
<result>C</result>
A box contains 100 pairs of shoes (200 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?