A six sided die is rolled three times. List possible outcomes and find the probability of rolling exactly one 6.

3 answers

Are you sure that they want you to "list" all the outcomes?
There are 216 of them. (6x6x6=216)

If you have to list them, do it systematically, e.g.
1 1 6
1 1 5
...
1 1 1
1 2 6
1 2 5
....
1 2 1
1 3 6
.....
....
1 6 1
...
2 1 6
2 1 5
etc

To have only one 6, it must look like this
6 x y, x 6 y, x y 6, where the x and y are NOT 6
number of those = 3x5x5 = 75

prob (exactly one 6) = 75/216 = 25/72
brah that worng
help me pls