Question

If you roll one die two times, what is the probability of getting a 2 on the first roll and a 2 on the second roll? Show work or explain your reasoning. Copyright2016, The Charles A. Dana Center at the University of Texas at Austin

Answer 1

Answer:
`(1)/(36)`

Explanation:

We know that when two events A and B are independent , then the probability of getting A and B will be :-

`P(A\cap B)=P(A)* P(B)`

In a fair dice,total outcomes =6

Number of 2's =1

Then, the probability of getting a 2 =
`(1)/(6)`

If you roll one die two times, then the probability of getting a 2 on the first roll and a 2 on the second roll will be:-

`(1)/(6)*(1)/(6)=(1)/(36)`

Hence, the probability of getting a 2 on the first roll and a 2 on the second roll=
`(1)/(36)`