TITLE: What is the probability that Brian makes money on his first roll
QUESTION [0 upvotes]: Brian plays a game in which two fair, six-sided dice are rolled
  simultaneously. For each die, an even number means that he wins that
  amount of money and an odd number means that he loses that amount of
  money. What is the probability that Brian makes money on his first
  roll?

To find the probability, do we need to find the even numbers only. There are 36 outcomes from the two dies. So is there an easy  way to get the arrangements?

REPLY [0 votes]: It'll be 58.3% chance. 
36 possible combos.
Nine are all even...
When not all even or all odd numbers:
6 being one of the two always wins, giving Six wins...
4 being one of the two wins Four...
2 being one of the two wins Twice...
9+6+4+2=21
21/36=.583^
Or use the matrix provided by @paw88789
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