question archive Isabel Briggs Myers was a pioneer in the study of personality types

Isabel Briggs Myers was a pioneer in the study of personality types

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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 30
Three 124
Two 110
One 64
None 47


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.)


Do the probabilities add up to 1? Why should they?


Yes, because they do not cover the entire sample space.
No, because they do not cover the entire sample space.    
Yes, because they cover the entire sample space.
No, because they cover the entire sample space.

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