John is making a card game. In solitaire mode, John always completes the game in 15 turns. On average, John scores 60 points.

John decides to make a virtual opponent called ROBI. On one card, he writes 11 possible results. After each of his turns, he rolls 2 six-sided dice for ROBI. The total number of the 2 dice indicates 1 of the 11 possible results that ROBI gets per turn (2-12).

John finishes the game in 15 turns.
Therefore ROBI also finishes the game in 15 turns.

What 11 values on the ROBI card allow John to win 25% of the time?
What 11 values on the ROBI card allow John to win 35% of the time?
What 11 values on the ROBI card allow John to win 50% of the time?
What 11 values on the ROBI card allow John to win 60% of the time?

Here is an example test set of 11 values:

DICE ROLL ------------------------- RESULT
   2 --------------------------------------- 2
   3 --------------------------------------- 3
   4 --------------------------------------- 4
   5 --------------------------------------- 5
   6 --------------------------------------- 4
   7 --------------------------------------- 4
   8 --------------------------------------- 5
   9 --------------------------------------- 5
   10 -------------------------------------- 6
   11 -------------------------------------- 5
   12 -------------------------------------- 3

Note: I’ll be testing your 4 sets of 11 values with playtesting in an actual card game.

Answer rating: 100% (QA)

Solution To find the 11 values on the ROBI card that allow John to win 25 of the time we need to find the values that result in the lowest score for ROBI Lets assume that the values on the ROBI card a... View the full answer