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 25%, what is the probability that Karen will be accepted to at least one project?  Choose the most appropriate option.
A) 37/64  B) 23/64  C) 15/32  D) 7/16  E) 5/8
Since the probability of Karen's being accepted to each individual project is 25%, the probability of her not being accepted to each project is 75%. The probability that she will be accepted to none is, therefore, (3/4)*(3/4)*(3/4)=27/64.   P(Karen will be accepted to at least one project) = 1 - (27/64) = 37/64.   The answer is 37/64.
<result>A</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 25%, what is the probability that Karen will be accepted to at least one project?