Question

Many games involve chance and they usually involved either dice or cards. For this activity, we will look at a common game called 7‐11 where two dice are rolled. If the roll adds up to 7 or 11, the player wins. If the roll adds up to 2, 3, or 12, the player loses. If there is any other sum, it is a draw (no winner or loser). Use this two‐dice roll scenario to complete the problems below.

1. Create a tree diagram to determine all the possible outcomes of rolling two dice.

Answer 1

I’m going to categorize them of how you win or lose.

Win: 3 +4, 6+1, 2+5, 5+6
Loses: 1+1, 2+1, 6+6
Draw: 1+3, 2+2, 3+2, 4+1, 3+3, 1+5, 4+2, 3+5, 4+4, 6+2, 3+6, 4+5, 4+6, 5+1, 5+2, 5+5