An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (repr

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 9

Event B: The sum is not divisible by 2 not divisible by 5.

Round your answers to at least two decimal places.

Explanation / Answer

A: possible outcomes on 2 rolls of die are { (6,6),(6,5),(5,6),(6,4),(4,6),(5,5)} where the sum is greater than 9, thus probability is 6/36 where 36 is total outcomes . Answer is 1/6

B. Sum is not disvisble by 2 or 5 means possbile outcomes are {(1,2),(2,1),(3,4),(4,3),(5,2),(2,5),(6,1),(1,6),(6,3),(3,6),(4,5),(5,4),(6,5),(5,6)} thus answer is 14/36 or 7/18

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