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Unformatted text preview: Statistics 20: Quiz 3 Solutions October 11, 2006 1. Suppose you flip a fair coin 10 times and it results in 1 Tail and 9 Heads. If you toss that coin again, what is the probability of obtaining Heads on that toss? Provide an answer and then explain your reasoning in one sentence. P ( Heads ) = 1 2 . The result of this toss is independent of the results for past tosses, and a fair coin assigns equal probability to each outcome. 2. A raffle is being held, and people may purchase and write their name on as many tickets as theyd like. All of the tickets are placed in a hat, and then 3 tickets are drawn at random without replacement for prizes. You buy 8 tickets, and there are only 5 other tickets in the hat. What is the probability that you will win all 3 prizes? Round to 3 decimal places. Let X i , 1 i 3, record the name on the i th ticket selected from the hat. Let Y i = 1 if X i is your name and Y i = 0 otherwise. Tickets are chosen without replacement . Then the probability of winning all three prizes is: P ( Y 1 = 1 ,Y 2 = 1 ,Y 3 = 1) = P ( Y 1 = 1) P...
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