Question: what is the probability of getting a sum less than 7?
Answer: 5/12. Quick way: The probability of 7 is 1/6. The probabilities are symmetric (e.g., a 2 has the same probability as a 12; an 11 has the same probability as a 3; etc. 1/6 leaves 5/6 left over; 1/2 of that is 5/12 (without having to add probability of 2, probability of 3,…., probability of 6).