Question

Question #fd3c6

Answer 1

33%, or 50%, depending.

Explanation:

There are two possible outcomes here, one where we only use unique outcomes (if we roll 6-4 we cannot use 4-6), and one where we use all outcomes.

For both, the amount of rolls available are 36. Of these, half are divisible by 2, so 18.
For non-unique rolls, 18 is the answer, and `18/36 = 1/2 = 50%`, one of the answers.
For unique rolls, it is slightly different. Where before the ways to get an even number were numerous, from 6-6 to 1-1, we now have to get rid of duplicates. This includes 6-4/4-6, 5-3/3-5, 6-2/2-6, 4-2/2-4, 5-1/1-5 and 3-1/1-3. This gets rid of 6 possibilities, `18-6=12` and `12/36 = 1/3 = 33%`.

Answer 2

`2/9`

Explanation:

Number of outcome `=36`

Set of outcome with diffrence of 2`= {(1,3), (2,4), (3,1), (3,5), (4,2), (4,6), (5,3), (6,4)}`

Number of outcome with difference of `2= 8`

Therefore,
the probability of outcome with difference of 2 `= 8/36 = 2/9`