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Question 1 of 11Points: 10 out of 10A fair die is rolled 12 times. Consider the following three possible outcomes:(i)2 2 2 2 2 2 2 2 2 2 2 2(ii)1 1 2 2 3 3 4 4 5 5 6 6(iii)4 6 2 1 3 5 2 6 4 3 1 5Which of the following is true? It is absolutely impossible to get sequence (i). (ii) is more likely than (i). (iii) is more likely than (i) or (ii). The three outcomes are equally likely. Both (B) and (C) are true.Good job! The die is fair. This means that all faces have an equal probability of occurring on any given roll (1/6). Since each roll is independent of the other rolls, the probability of the each of the three sequences shown is the same, (1/6)12. So the three sequences are equally likely (or we could say equally unlikely since each has such a small chance of occurring).Question 2 of 11Points: 10 out of 10Let A and B be two disjoint events such that P(A) = .30 and P(B) = .60.What is P(A and B)?
Question 3 of 11Points: 10 out of 10The following probabilities are based on data collected from U.S. adults duringthe National Health Interview Survey 2005-2007. Individuals are placed into an activity category based on the amount of weekly activity.InactiveIrregular Light ActivityRegular Light ActivityIrregular VigProbability0.3970.1920.1040.233Based on these data, what is the probability that a randomly selected U.S. adult participates in any vigorous activity?