Question

2. You roll a fair six-sided die twice. Find the probability of rolling a 2 the first time and a number greater than 3 the second time.

Answer 1

Notice that the event of rolling a 2 the first time and the event of rolling a number greater than 3 the second time are independents, therefore:

`P=P(2)* P(x>3)\text{.}`

Computing P(2) and P(x>3) we get:

`\begin{gathered} P(2)=(1)/(6), \\ P(x>3)=(3)/(6)=(1)/(2)._{} \end{gathered}`

Therefore:

`P=(1)/(6)*(1)/(2)=(1)/(12)\text{.}`

Answer:

`(1)/(12)\text{.}`