.
A die is rolled twice. What is the probability of showing a 3 on the first roll
and an even number on the second roll?
~~~~~~~~~~~~~~~~~~~~~~~~~~~
First event, showing a 3 on the first roll, has the probability of
.
Second event, showing an even number on the second roll, has the probability
=
.
These events are independent, so the answer to the problem question is the product
of individual probabilities P =
=
.
Solved and explained.