Question

a fair die is tossed four times. Find the probability of obtaining each of the following. 5 on all four tosses

Answer 1

`(1)/(1296)`

Explanation:

When a fair die is tossed once, there are 6 possible outcomes: 1, 2, 3, 4, 5, 6.

The probability of rolling 5 is
`(1)/(6).`

When a fair die is tossed four times, the probability of rolling 5 all four times is

`(1)/(6)\cdot (1)/(6)\cdot (1)/(6)\cdot (1)/(6)=(1)/(6^4)= (1)/(1296)`