SOLUTION: Roughly 1 in 6 students enrolled in higher education took at least one online course last fall. If 5 enrolled students are chosen at random, what is the probability that all 5 took

Algebra ->  Probability-and-statistics -> SOLUTION: Roughly 1 in 6 students enrolled in higher education took at least one online course last fall. If 5 enrolled students are chosen at random, what is the probability that all 5 took      Log On


   

Question 1191415: Roughly 1 in 6 students enrolled in higher education took at least one online course last fall. If 5 enrolled students are chosen at random, what is the probability that all 5 took online courses? What is the probability that at least 1 took an online course?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Roughly 1 in 6 students enrolled in higher education took at least one online course last fall.
If 5 enrolled students are chosen at random,
(a) what is the probability that all 5 took online courses?
(b) What is the probability that at least 1 took an online course? 


(a)  P = %281%2F6%29%5E5 = 1%2F6%5E5 = 1%2F7776.    ANSWER



(b)  P = 1+-+%285%2F6%29%5E5 = 1+-+3125%2F7776 = %287776-3125%29%2F7776 = 4651%2F7776 = 0.5981  (rounded).   ANSWER

Solved.