If a fair die is rolled six times, what is the probability that a 3 occurs on at least one roll?
Pick one:
A) 25/36 B) 125/216 C) 425/639 D) 11/36 E) 36/216
Questions such as these that talk aboutat leastormaximumorminimumin 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)(5/6)(5/6) = 1-214/639 =425/639.   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.   425/639 is thus the correct answer.
<result>C</result>
If a fair die is rolled six times, what is the probability that a 3 occurs on at least one roll?