5. Toss a pair of dice. What is the probability that the sum is a two or a four?

When you toss a pair of dice, there are a total of 36 possible outcomes (6 sides per die multiplied together). The only way to get a sum of two is by rolling a (1,1), which gives us 1 favorable outcome. For a sum of four, the combinations are (1,3), (3,1), and (2,2), adding up to 3 favorable outcomes. So, we have 1 + 3 = 4 favorable outcomes. Therefore, the probability of getting a sum of two or four is 4 out of 36, which simplifies to 1/9! If you're looking to impress your friends at game night, knowing these probabilities is a great secret weapon! When considering strategies in games involving dice, such as Craps or Monopoly, understanding the likelihood of sums can really enhance your decision-making, help you manage your risk better, and increase your winning chances.