Question

An ordinary (fair) die is a cube with the numbers
1
through
6
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
A
: The sum is greater than
7
.
Event
B
: The sum is divisible by
2
.
Round your answers to at least two decimal places.

Answer 1

draw a table of 6 rows and 6 columns, with the entries being the sums of the row and column count

e.g.
/// 1 2 3 4 5 6
1 ..2 3 4 5 6 7
2 ..3 4 5 6 7 8
3 ..
4 ..
5 ..6 7 8 9 10 11
6

Now count the "sums" that related to your question
and you should be able to answer all of these.
remember your probability is .... /36