The graph shows that U.S. smokers have a greater probability of suffering from some ailments than the general adult population. Exercises 57–58 are based on some of the probabilities, expressed as decimals, shown to the right of the bars. In each exercise, use a calculator to determine the probability, correct to four decimal places.

If the probability an event will occur is p and the probability it will not occur is q, then each term in the expansion of (p + q)ⁿ represents a probability.

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Probability That United States Adults Suffer from Various Ailments Tobacco-Dependent Population | General Population Depression Frequent Hangovers Anxiety/Panic Disorder Severe Pain 0 0.08 0.07 0.12 0.10 0.14 i 0.05 0.10 0.15 Probability 0.20 0.19 0.28 0.20 0.25 0.30