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

$\text{Total outcomes}=6\times 6\times 6\times 6=1296$

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

$\text{Favorable outcomes}=1$

Now,

$Probability=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$Probability=\dfrac{1}{1296}$

Therefore, the required probability is $\dfrac{1}{1296}$.