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 at least 3 similar personality traits in common. Round to four decimal places when necessary