Week 31 CAPT Problem - 10th Grade

Dice

Dice are usually six sided figures (which we could call a hexagon). Suppose that we had 2 six sided dice that had the numbers 1 through 6 on each side.

1. How many different outcomes are there when we roll the dice (consider the fact that dice 1 being a 2 and dice 2 being a 3 and dice 1 being a 3 and dice 2 being a 2 are two different outcomes). Explain how you reached your conclusion.
   
   
2. What are the chances that we get a total of 7 when we roll the two dice. Express your answer as a fraction.
   
   
3. What are the chances we will get a total of 10 or more when we roll the two dice.
   
   
4. Mark wants to play a game with me. If we get 2, 9, 10, 11 or 12 when we roll the dice he wins. If we get 6 or 8 I win. If we roll something else it is a tie. Should I play? Explain your answer.
   
   
5. If we rolled 3 dice how many different outcomes would there be?
   
   If we rolled 4 dice?