Dice Sum

Free interactive math game: Dice Sum — Two dice. Part of the Probability category on MathKite.

Example problems

Taken from the generator that powers this exercise. A fresh set appears every time the page is opened, and the printable worksheet holds ten of them.

  1. Two 6-sided dice. P(sum = 8) = ?
  2. Two 6-sided dice. P(sum = 11) = ?
  3. Two 6-sided dice. P(sum = 4) = ?
  4. Two 6-sided dice. P(sum = 6) = ?

About this exercise

The chance of a given total from two dice.

How to solve it

There are 36 equally likely pairs, so count how many produce the target sum.

Worked example

A total of 7 happens in 6 of the 36 pairs, so one sixth.

Common mistake

Treating every total as equally likely. Seven is six times more common than twelve.