Homework3 - There is a pool of 10 freshmen 7 sophomores 8...

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Homework 3 A clown is selling balloons at a parade. She has 5 blue balloons, 3 yellow balloons, and 7 red balloons. You’re babysitting 3 children, and buy each of them a balloon. 1. What’s the probability that all three balloons are red? 2. What’s the probability that one balloon is blue? 3. What’s the probability that at least one balloon is yellow? 4. What is the probability of getting one balloon of each color? 5. Roll a pair of dice and add the two faces. What is the probability of a number that is greater than 4 and at most 9? 6. Roll a pair of dice and add the two faces. What is the probability of an even number less than 5? You’re picking a delegation of five students to send to a national conference on life at land grant universities.
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Unformatted text preview: There is a pool of 10 freshmen, 7 sophomores, 8 juniors, 6 seniors, and 3 graduate students to choose from. 7. How many ways can you pick a delegation that only consists of juniors? 8. How many ways can you pick a delegation that has one representative from each class? 9. Say of the five people you pick, one must be named spokesman, one must take minutes of the conference proceedings, one is in charge of coffee, one is in charge of photo documentation, and one is in charge of swapping pins with other schools. How many ways can these tasks be assigned, if each delegate can only perform one duty? 10. How many ways can the tasks in (9) be assigned if there is no limit to the number of duties a delegate can perform?...
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