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Two six-sided dice are rolled. Using the sample space for rolling two dice shown in the figure below, find the probability that the sum of the dice is either 4 or 7. Give your answer as a reduced fraction.

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jcherry99

Answer:

Step-by-step explanation:

There are 36 ways 2 dice can be thrown. Sometimes colors are used to tell the difference between the dice.

36 comes from 6*6

Suppose you have 2 dice 1 blue and the other white

Blue      White

1              1

              2

              3

              4

              5

              6

There's 6 ways that have been thrown. Then you go to the blue dice being 2. You get six more. Then 3 gives you six more 4 gives you another six. and so on. The whole procedure adds to 36

you can throw a four 3 ways

Blue       white

1               3

3              1

2              2

You can throw 7 six ways

Blue         white

1                 6

6                1

2               5

5               2

3               4

4               3

So of the 36 ways to throw the dice 9 will successful. (6 + 3)

Answer: 9/36 = 1/4 times you will be successful

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