Question

A six-sided die is tossed 4times. What is the probability of observing four ones in a row

Answer 1

Given:

A six-sided die is tossed 4 times.

To find:

The probability of observing four ones in a row.

Solution:

If a six-sided die is tossed 4 times, then the total number of outcomes is

`\text{Total outcomes}=6* 6* 6* 6=1296`

Four ones in a row means getting 1 in all four tosses, i.e., 1111.

`\text{Favorable outcomes}=1`

Now,

`Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}`

`Probability=(1)/(1296)`

Therefore, the required probability is
`(1)/(1296)`.