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 40%, what is the probability that Karen will be accepted to at least one project?
Choose the correct choice from the following choices.
A) 317/500  B) 141/250  C) 98/125  D) 67/100  E) 23/50
Since the probability of Karen's being accepted to each individual project is 40%, the probability of her not being accepted to each project is 60%. The probability that she will be accepted to none is, therefore, (3/5)*(3/5)*(3/5)=27/125.   P(Karen will be accepted to at least one project) = 1 - (27/125) = 98/125.   The answer is 98/125.
<result>C</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 40%, what is the probability that Karen will be accepted to at least one project?