Question: Susan Meyer likes to study personality types. The personality types are broadly defined according to four main preferences. Do individuals usually choose similar or different

Susan Meyer likes to study personality types. The personality types are broadly defined according to four main preferences. Do individuals usually choose similar or different personality types as their friends? The following data gives an indication.

Similarities and Differences in a Random Sample of 212 Students from Unnamed University

Number of Similar Preferences Number of Students
All four 20
Three 75
Two 67
One 35
None 15

Use the data to estimate the probability that a student will have all 4 similar personality traits in common. Round to four decimal places when necessary.

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