a) Probability that at least one of the rolls is a 3= 1 - Probability that none of the rolls is a 3
Probability of getting a 3= 1/8
Probability of not getting a 3= 1-1/8 = 7/8
Since each roll is independent therefore probability of not getting a 3 in any 5 rolls=
Therefore probability of getting at least one of the rolls as 3=
b) The values of X can be from the set X = {1,2,3,4,5}
Total sample space size=
Now,
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