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7. 8. 9. What is the probability of getting more heads than tails, if you toss a fair coin seven times? A true/false quiz has 10 questions. If you randomly answer each question, what is the probability that you score at least 70%? In a lottery game, a winning set of five numbers is chosen from the set {1, 2,..., 36). To play, you pick a set of five numbers. If your five numbers match the five winning numbers, you win first prize. If exactly four match, you win second prize. If exactly three match, you win third prize. If two or fewer numbers match, you win nothing. Find the probability of winning the second prize. 10. What is the probability that a five-card poker hand contains the ace of hearts? 11. What is the probability that a five-card poker hand contains the two of diamonds and the three of spades? 12. If two fair dice is rolled, find the probability of the event that the same number of dots had come up on both dice.