Question

If a red and a blue fair six sided die are rolled what is the probability the result is 8 or divisible by 3?

Answer 1

Step 1:

In this question, we are given that;

If a red and a blue fair six-sided die are rolled.

What is the probability the result is 8 or divisible by 3?

Step 2:

The table for the two dice rolled together is as shown below:

Green 1 2 3 4 5 6

Red

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

Step 3:

The probability that the result is 8 =

`\begin{gathered} =\text{ }\frac{\\u mber\text{ of 8}}{\text{Total number }} \\ =\text{ }(5)/(36) \end{gathered}`

Next,

The probability that the result is divisible by 3

=

`(12)/(36)`

Finally, the probability that the result is 8 or divisible by 3, we have that:

`(5)/(36)+(12)/(36)\text{ =}(17)/(36)`