1. Which of the following probabilities for sample points A, B, and C could be true if A, B, and Care the only sample points in an experiment. a) P(A) = 1/6, P(B) = 1/2, P(C) = 1/5 (b) P(A) = 0, P(B) = 1/13, P(C) = 12/13 c) P(A) = -1/4, P(B) = 1/2, P(C) = 3/4 d) P(A) =1/8, P(B) = 1/8, P(C) = 1/8 2. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident. Number of vehicles involved Did alcohol play a role? 1 2 3 or more Totals Yes 51 92 27 170 No 23 179 28 230 Totals 74 271 55 400 What proportion of the accidents involved a single car without the effect of alcohol? a) 51/400 b) 23/400 c) 23/74 d) 74/400 3. Reread Problem 2. What proportion of the cars involved two cars with effect of alcohol? a) 179/400 b) 92/271 c) 92/400 d) 271/400 4. Reread problem 2. Given that the number of cars involved is three or more, what is the probability that there was no effect of alcohol? a) 28/55 b) 55/400 c) 170/400 d) 27/55 5. What is the probability that the accident involved the effect of alcohol or involved two cars? a) 441/400 b) 170/400 c) 271/400 d) 349/400 6. A hospital reports that two patients have been admitted who have contacted HIV. Suppose our experiment consists of observing whether the patients survive or die as a result of the disease. The simple events and probabilities are shown below. (Where S in the first position means that the patients survives, D in the first position means the patient 1 dies, etc) Simple events: SS SD DS DD Probabilities: 51 18 .15 16 What is the probability that at least one of the patients does not survive the disease? a) 0.33 b) 0.16 c) 0.49 d) 0.18 e) 0.84