Daily Problem, November 6, 2026: Probability

The problem

You roll two fair dice. What is the probability the total is 11? Give a fraction.

Answer

P = 1/18

Worked solution

  1. There are 6 × 6 = 36 equally likely outcomes.
  2. Pairs that make 11: (5,6) (6,5) = 2 ways.
  3. P = 2/36 = 1/18

How members answered

  • 29tried
  • 48%first try
  • 16solved

Common mistakes

  • There are 11 possible totals, but they aren’t equally likely: 7 can happen 6 ways, 2 only 1 way. Count outcomes out of 36. (1 person)

Top wrong answers: 7 (2), 11 (2).