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:    $\dfrac{1}{36}$

Step-by-step explanation:

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

$P(A\cap B)=P(A)\times P(B)$

In a fair dice,total outcomes =6

Number of 2's =1

Then, the probability of getting a 2 =$\dfrac{1}{6}$

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:-

$\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}$

Hence, the probability of getting a 2 on the first roll and a 2 on the second roll=$\dfrac{1}{36}$