Question

As a part of a contest, a store is giving a special prize if a contestant can roll 3 standard six-sided number cubes, and get the same number on each. What is the probability a contestant will be successful?

Answer 1

Answer:
`\bold{(1)/(36)}`

Explanation:

The first die can be any number:
`P = ((6)/(6)) = 1`

The second die must match the first die:
`P = (1)/(6)`

The third die must also match the first die:
`P = (1)/(6)`

1st die and 2nd die and 3rd die = Probability of success

1 x
`(1)/(6)` x
`(1)/(6)` =
`(1)/(36)`