Question

What is the probability of rolling two six-sided dice and obtaining the following numbers: a) 2 and 3? b) 6 and 6? c) at least one 6? d) Two of the same number (two 1s, or two 2s, or two 3s, or two 4s etc.)? e) An even number on both dice? f) An even number on at least one dice?

Answer 1

A) 2/36

B) 1/36

C) 11/36

D) 1/6

E) 1/4

F) 1/2

Explanation:

Here is every dice roll possible:

[1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6].

If you look at the combinations, you can look at this chart and see how many times it occurs.

Hope this helps!