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

Answer:

$\frac{2}{3}$

Step-by-step 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 $\frac{1}{6}$ 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 $\frac{3}{6}$ = $\frac{1}{2}$

Now we add both probabilities together.

$\frac{1}{6}$ +  $\frac{3}{6}$ = $\frac{4}{6}$ = $\frac{2}{3}$

So, the probabilities is  $\frac{2}{3}$