PROBLEM #1
1. In a class experiment, Miguel rolls one ordinary 6-sided die repeatedly. Keeping track
of each number he rolls, he decides to stop as soon as one number is rolled three
times. Miguel stops after the 12th roll, and the sum of these rolls is 47. Which number
occurred for the third time? (An ordinary 6-sided die has the numbers from 1 through 6
on its sides)
Step 1: Understand the Problem
Find the number which occured for the 3rd time, if the sum of the 12th roll is 47.
Step 2: Design a Plan
We added all of the numbers that Miguel got in the die until we get the sum of the 12th
roll which is 47.
Step 3: Carry out the plan
6+3+5+4+6+1+3+5+4+3+1+6 = 47
6,6,6 rolled three times
Step 4: Look back
Miguel stops when number 6 rolled three times.
1st, 3rd and 12th roll got 6.
