SOLUTION: Two fair 6-sided dice are rolled. What is the probability the sum of the two numbers on the dice is 3?

⚀⚀   ⚀⚁   ⚀⚂   ⚀⚃   ⚀⚄  ⚀⚅

⚁⚀   ⚁⚁   ⚁⚂   ⚁⚃   ⚁⚄  ⚁⚅

⚂⚀   ⚂⚁   ⚂⚂   ⚂⚃   ⚂⚄  ⚂⚅

⚃⚀   ⚃⚁   ⚃⚂   ⚃⚃   ⚃⚄  ⚃⚅

⚄⚀   ⚄⚁   ⚄⚂   ⚄⚃   ⚄⚄  ⚄⚅

⚅⚀   ⚅⚁   ⚅⚂   ⚅⚃   ⚅⚄  ⚅⚅

Above are the 36 ways the two dice can fall.  Those two 
I have colored red are the only ones that have sum 3.  
That's 2 out of 36, so the probability is  which
reduces to .

Edwin