If you toss two dice and add the numbers facing up, what is the probability that the sum of the dice equals 5 or the sum of the dice is even?

There are 6*6=36 possible outcomes for a two-die throw.

There are 4 ways to throw a 5 { (1,4), (2,3), (3,2), (4,1) }.

So the probability is P (4) = 5/36.

There are 18 ways to throw an even number.

So P (even) = 18/36=1/2