AMS 5 Quiz: AMS5 Quiz 3 2017 Winter A Solutions
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AMS 5 Full Course Notes
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For full credit, show your work and/or explain your answers: a (fair) die is rolled 3 times. Find the probability that (a) (3 pts) all 3 rolls result in (cid:16) 216 ( 0. 46%) (b) (3 pts) at least one of 3 the rolls results in so (cid:16) P at least one s in 3 rolls (cid:16) (cid:17) 216 ( 42. 13%): (6 pts) one ticket is drawn at random from each of the two boxes. Find the probability that the number drawn from box a is bigger than the number drawn from box b. There are a total of 12 possible pairs of tickets that can be drawn (3 choices from a times 4 choices from b), and they are all equally likely. Of these 12 pairs, only the 4 pairs (a4, b1), (a4, b2), (a4, b3) and (a2, b1), result in the number from a being bigger than the number from b.
