word problem

Question

Imagine you have two six-sided dice – one is blue and the other is green. This time, though, the sides have different numbers on them, as follows:
Blue: 0, 1, 4, 4, 4, 5 Green: 2, 2, 2, 3, 6, 6

If you roll both dice at the same time, there are still 36 possible outcomes, but some of them are the same.
a. Make an organized list of all the possible combinations.
b. Suppose you roll both dice at once, and then add the two numbers that come up. What is the probability that the sum of the two numbers is 6? What is the probability that the sum is 7?

Answer 1

Make your list like this:

Blue   Green  Sum

0        2          2

          2          2

          2          2

          3          3

          6          6

          6          6

1        2          3
          2          3
          2          3
          3          4
          6          7
          6          7

etc...

 

There will be 36 rows in the list.

The probability of getting a 7 will be the number of times 7 appears divided by 36.

There will be several 7s!  

1 and 6 occurs a few times.

4 and 3

5 and 2

 

Your answer should be 8/36 = 2/9 = 0.222...