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	10
Three	75
Two	67
One	35
None	25

Use the data to estimate the probability that a student will have at least 3 similar personality traits in common. Round to four decimal places when necessary.