The probability of the sum being greater than 6 will be 7/12. And the probability of the sum is not divisible by 3 will be 1/3.
What is probability?
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
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.
The number of the total events will be
Total events = 6 x 6
Total events = 36
The total sample is given below.
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)
(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)
(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)
(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)
(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)
The probability of the sum is greater than 6 will be
Favorable events = 21
P = 21 / 36
P = 7/12
The probability of the sum is not divisible by 3 will be
Favorable events = 21
P = 12 / 36
P = 1/3
More about the probability link is given below.
https://brainly.com/question/795909
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