As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 60%, what is the probability that Karen will be accepted to at least one project? Pick one.
A) 4/5	B) 19/25	C) 37/50	D) 98/125	E) 117/125
Since the probability of Karen's being accepted to each individual project is 60%, the probability of her not being accepted to each project is 40%. The probability that she will be accepted to none is, therefore, (2/5)*(2/5)*(2/5)=8/125.   P(Karen will be accepted to at least one project) = 1 - (8/125) = 117/125.   The answer is 117/125.
<result>E</result>
As part of her MBA program, Karen applied for three different Spring Break outreach projects, each of which selects its students by a random lottery of its applicants. If the probability of her being accepted to each individual project is 60%, what is the probability that Karen will be accepted to at least one project?