There are 5 juniors and 10 seniors (one of which is Amelia), trying to win a scholarship

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There are 5 juniors and 10 seniors (one of which is Amelia), trying to win a scholarship to a summer music program. Only 3 students can win, and the winners will be selected randomly by pulling names out of a hat.
a. If no one can win more than once, what is the probability that all 3 winners will be seniors?
b. If students can win more than once and the students are independent from each other, what is the probability that all 3 winners will be seniors?
c. If students can win more than once and the students are independent 1 from each other, what is the probability that the name-puller will call the first senior on the third name?
d. What is the probability that the first person to win a scholarship is a senior?
e. What is the probability that the third person to win a scholarship is a senior?
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Related Book For  book-img-for-question

Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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