Question

What is the chance of rolling a four with a single die two times in a row?A. 1/216B.1/296C.1/36D.1/7776

Answer 1

To answer this question, we have here two independent events. The occurrence of one event does not affect the occurrence of the other.

Since we have to roll a four two times in a row, we have:

The probability of roll a four is:

`P(4)=(1)/(6)`

Since we have 6 possibilities in this case: 1, 2, 3, 4, 5, 6, and one to get a four.

Then, since we to roll a four with a single die two times in a row, we have:

`P(4\text{twotimes)}=(1)/(6)\cdot(1)/(6)=((1)/(6))^2=(1)/(36)`

In summary, therefore, the answer is 1/36 (option C).