What is the probability that if you roll two fair, standard six-sided dice, the difference between the two numbers rolled will be a multiple of 2?  Express your answer as a common fraction.

 

 

One question that was asked at the contest was whether 0 is a multiple of 2. 

 

If , there is no remainder, so 0 is a multiple of 2.

 

The difference between the numbers will be either even or odd, with each occurring with equal probability.

 

The probability is .