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.

Number of Similar Preferences	Number of Married Couples
All four	35
Three	130
Two	110
One	69
None	31

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?