Question

You roll a fair die three times. What is the probability of each of the​ following? ​a) You roll all 2​'s. ​b) You roll all odd numbers.​ c) None of your rolls gets a number divisible by 3. ​d) You roll at least one 4. ​e) The numbers you roll are not all ​4's.

Answer 1

`(1)/(6)`×
`(1)/(6)`×
`(1)/(6)`
`=(1)/(72)`

`(1)/(2)`×
`(1)/(2)`×
`(1)/(2) =(2)/(8)`

`(4)/(6)`×
`(4)/(6)`×
`(4)/(6) =`
`(8)/(27)`

`(1)/(6)`×
`(1)/(6)`×
`(1)/(6)`
`=(1)/(72)`

`(8)/(27)`