Question
A six sided die is rolled three times. List possible outcomes and find the probability of rolling exactly one 6.
Answers
Reiny
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
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
casd
brah that worng
bob
help me pls