MARBLES 1. Three marbles are randomly and simultaneously chosen from the bag. a. What is the probability that three different marbles are chosen? That is, what is the probability that there is one black marble, one white marble, and one striped marble? b. What is the probability that the three chosen marbles match? c. What is the probability that exactly two of the three marbles match? 2. Three marbles are randomly chosen from the bag, one at a time. After each marble is chosen and its color recorded, it is replaced in the bag before the next marble is chosen. a. What is the probability that three different marbles are chosen? That is, what is the probability that there is one black marble, one white marble, and one striped marble? b. What is the probability that the three chosen marbles match? c. What is the probability that the first marble is white, the second striped, and the third is black? d. What is the probability that the second marble matches the first? e. What is the probability that the second marble is striped? MARBLES 3. Three marbles are randomly chosen from the bag, one at a time without replacement. a. What is the probability that three different marbles are chosen? That is, what is the probability that there is one black marble, one white marble, and one striped marble? b. What is the probability that the three chosen marbles match? c. What is the probability that the first marble is white, the second striped, and the third is black? d. What is the probability that the second marble matches the first? e. What is the probability that the second marble is striped? 4. Compare your answers to parts a and b of questions 1-3. 5. Compare your answers to parts c-e of questions 2 and 3.

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