The IRS says (I am making up this scenario) that 5% of the population cheat on the income taxes every year and the result is independent of age, ethnicity, and income bracket; let us say this number holds for every year. Suppose that 40% of the population that filed income taxes is between the ages of 18 to 44 years for the year 2010. Suppose we sampled five tax returns completely at random for the year 2010. What is the probability that at least one person is between the ages of 18 to 44 years of age?

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The probability that at least one person who... View the full answer