List the probabilities for the eleven possible outcomes for throwing a pair of dice then check to see that they add up to 1.

Expert Answers

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Each die has 6 faces with numbers from 1 to 6. When 2 dice are thrown the sum of the numbers that show up can be 2, 3, 4, 5, 6,7 8, 9, 10, 11, 12.

There can be many ways in which a particular number is obtained as the sum, for example 8 can be obtained with (2, 6),(6, 2),(3, 5),(5,3) and (4,4). The probability for the other numbers has also been determined in a similar way.

The probability of each of the 11 numbers is:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

The sum of the probabilities adds up to 1.

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