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13. At the time of your turn, a particular Scrabble bag contains 8 Es, 3 Ds, 5 As, and 2 Ts. What is the probability that you will pull a D? 14. At the time of your turn, a particular Scrabble bag contains 5 Es, 3 Rs, 4 Os, and 5 As. What is the probability that you will pull an R? 15. A bag of marbles contains 7 large red marbles, 5 large yellow marbles, 3 small red marbles, and 5 small yellow marbles. If you draw a marble at random, what is the probability that you will draw a red marble, given that it is small? 16. A bag of marbles contains 9 large green marbles, 4 large purple marbles, 5 small green marbles, and 4 small yellow marbles. If you draw a marble at random, what is the probability that you will draw a green marble, given that it is large? 17. A jar contains 10 red M&Ms, 13 yellow M&Ms, 7 green M&Ms, 11 blue M&Ms, and 8 brown M&Ms. What is the probability of pulling a brown M&M, replacing in the jar, and then pulling a red M&M? 18. A jar contains 20 red M&Ms, 23 yellow M&Ms, 19 green M&Ms, 15 blue M&Ms, and 17 brown M&Ms. What is the probability of pulling a yellow M&M, replacing in the jar, and then pulling a green M&M? 19. On a certain day, the chance of rain in Ventura is 70% and the chance of rain in San José, Costa Rica is 50%. Suppose that the chance of rain in the two cities is independent. What is the probability that is will not rain in either city? 20. A random number generator selects three digits from {0, 1, …, 9}. What is the probability that all three numbers are less than or equal to 4? 21. On a certain day, the chance of rain in Ventura is 40% and the chance of rain in Tibet is 60%. Suppose the chance of rain in the two cities is independent. What is the probability that it will not rain in either city?