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 50%, what is the probability that Karen will be accepted to at least one project?  Choose the correct choice from the following options:
A) 1/2
B) 3/4
C) 5/8
D) 7/8
E) 15/16
Since the probability of Karen's being accepted to each individual project is 50%, the probability of her not being accepted to each project is 50%. The probability that she will be accepted to none is, therefore, (1/2)*(1/2)*(1/2)=1/8.   P(Karen will be accepted to at least one project) = 1 - (1/8) = 7/8.   The answer is 7/8.
<result>D</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 50%, what is the probability that Karen will be accepted to at least one project?