Nearly all heroin addicts have used marijuana sometime in their lives. So, some argue that marijuana should be illegal because marijuana users are likely to become heroin addicts. Use a Venn diagram to illustrate the fallacy of this argument, by sketching sets for M = marijuana use and H = heroin use such that P (M | H) is close to 1 but P (H | M) is close to 0.
Answer to relevant QuestionsSuppose 80% of students finish high school. Of them, 50% finish college. Of them, 20% get a masters’ degree. Of them, 30% get a Ph.D. a. What percentage of students get a Ph.D.? b. Explain how your reasoning in part a used ...Answer true of false for each part. a. When you flip a coin ten times, you are more likely to get the sequence HHHHHTTTTT than the sequence HHHHHHHHHH. b. When you flip a coin ten times, you are more likely to get a sequence ...A tennis match can consist of the best of three sets (that is, the winner is the first to win two sets) or the best of five sets (the winner is the first to win three sets). Which would you be better off playing if you are ...A couple plans on having three children. Suppose that the probability of any given child being female is 0.5, and also suppose that the genders of each child are independent events. a. Write out all outcomes in the sample ...Table 5.3 on audit status and income follows. Show how to find the probability of: a. Being audited, given that the taxpayer is in the lowest income category. b. Being in the lowest income category, given that the taxpayer ...
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