Bag C contains 4 blue and 1 yellow ticket. Bag D contains 2 blue and 3 yellow tickets

Chapter 25, Problem 48

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Bag C contains 4 blue and 1 yellow ticket. Bag D contains 2 blue and 3 yellow tickets. An ordinary 6-sided die is used to select one of the two bags. If a 1 or 2 is rolled, bag C is chosen. Otherwise, bag D is chosen. A ticket is drawn at random from that bag. a Copy and complete the tree diagram, showing all probabilities. b Find the probability that a yellow ticket is drawn from bag D. c Find the probability of drawing a yellow ticket from either bag. d If a blue ticket is chosen, find the probability that it came from bag D. e In a gambling game, a player wins $6 for getting a blue ticket and $9 for getting a yellow one. Find the players expected return.

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