Compute the probability of each of the following events:

Question

An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events:
Event : The sum is greater than .6
Event : The sum is an odd number.

Answer 1

These are the possible answers:

 

1st   2nd   Sum

1       1       2

1       2       3

1       3       4

1       4       5

1       5       6

1       6       7

2       1       3

2       2       4

2       3       5

.

.

.

6      4        10

6      5        11

6      6        12

 

Can you fill in the rest of the chart?  Hint:  There are 36 possible combinations.

 

To find the probabilities, count the number of answers in the "sum" column that fit and then divide by 36.