Question

You are playing a game with your friends, Alex and Jeff. The first player who rolls a total of seven using two number cubes gets to start the game. Explain how to find the probability that you will roll a total of seven on your first try.

Answer 1

You can enumerate all possible dice permutations that you can potentially get (your sample space). Die #1 has 6 sides, and so does Die #2, so you get 6x6=36 possibilities.

Now, you think of the number of way you can get 7: Let (D1, D2) be an ordered couple denoting the number on Die 1 and 2 respectively:

(1, 6)

(2, 5)

(3, 4)

(4, 3)

(5, 2)

(6, 1)

Since there are 6 ways to get 7 out of a possible 36, the probably of rolling "7" is 6/36 = 1/6

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Answer 2

Answer:

1/6

Step-by-step explanation:

Now, you think of the number of ways you can get 7: Let (D1, D2) be an ordered couple denoting the number on Die 1 and 2 respectively:

(1, 6)

(2, 5)

(3, 4)

(4, 3)

(5, 2)

(6, 1)

Since there are 6 ways to get 7 out of a possible 36, the probability of rolling "7" is 6/36 = 1/6