Question

What is the probability of rolling doubles on 2 dice

Answer 1

2/12 or simplified 6

Answer 2

`P = (1)/(6)`

Explanation:

For each die there are S = 6 possible results. Therefore the amount of possible results when throwing 2 dice is:

`S = 6 * 6 = 36` possible results.

Now, the possible ways to get a double are 6:

`\{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)\}`

By definition the probability of an event is:

`P = (Number\ of\ favorable\ results)/(Number\ of\ possible\ results)`

Number of favorable results = 6

Number of possible results = 36

Then:

`P = (6)/(36)`

Simplifying we get:
`P = (1)/(6)`