If a fair die is rolled five times, what is the probability that a 3 occurs on at least one roll?
Answers:
A) 25/36  B) 125/216  C) 64/107  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) = 1-43/107 = 64/107.   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.   C is thus the correct answer.   Hope this helps.
<result>C</result>
If a fair die is rolled five times, what is the probability that a 3 occurs on at least one roll?