Question

Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Answer 1

`Pr = (1)/(216)`

Explanation:

The sample space of a single dice is:

`S = \{1,2,3,4,5,6\}`

`n(S) = 6`

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

`n(6) = 1`

In a roll of dice, the probability of rolling a 6 is:

`P(6) = (n(6))/(n(S))`

`P(6) = (1)/(6)`

In 3 rolls, the probability is:

`Pr = P(6)^3`

`Pr = [(1)/(6)]^3`

`Pr = (1)/(216)`