Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication. Similarities and Differences in a Random Sample of 375 Married Couples Number of Similar Preferences     Number of Married Couples All four 26 Three 122 Two 113 One 65 None 49 Suppose that a married couple is selected at random. (a)  Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (For each answer, enter a number. Enter your answers to 2 decimal places.) 0 1 2 3 4             (b)  Do the probabilities add up to 1? Why should they?

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