Question

A die is rolled twice. What is the probability of showing a

three on the first roll and an even number on the second roll?
Answer using a fraction or a decimal rounded to three
places.

Answer 1

`(2)/(3)`

Explanation:

We Know

A die is rolled twice.

There are six faces on a die.

What is the probability of showing a three on the first roll?

The probability will be
`(1)/(6)` because there is only one 3 in the total of 6 faces.

What is the probability of showing an even number on the second roll?

There are 3 even numbers: 2, 4, 6

The probability is
`(3)/(6)` =
`(1)/(2)`

Now we add both probabilities together.

`(1)/(6)` +
`(3)/(6)` =
`(4)/(6)` =
`(2)/(3)`

So, the probabilities is
`(2)/(3)`