If a fair die is rolled four time, what is the probability that a 3 occurs on at least one roll? Choose the correct choice from the following choices:  A) 25/36  B) 125/216  C) 91/216  D) 11/36  E) 248/479
Questions such as these that talk about at least or maximum or minimum in probability questions should make sure realize that probability of any event (N) to occur = 1- P(Not N)   Thus, the probability of at least 1 roll = 1- Probability of NO 3s = 1-(5/6) (5/6)(5/6)(5/6) = 1-231/479 = 248/479.   5/6 is the probability of NOT getting a 3 in any 1 roll with 5 allowed numbers (=1,2,4,5,6) out of a total of 6 possibilities.   248/479 is thus the correct answer.
<result>E</result>
If a fair die is rolled four time, what is the probability that a 3 occurs on at least one roll?