The Advanced Placement Program allows high school students to enroll in special classes in which a subject is studied at the college level. Proficiency is measured by a national examination. Universities typically grant course credit for a sufficiently strong performance. The possible scores are 1, 2, 3, 4, and 5, with 5 being the highest. The following table gives the probabilities associated with the scores recently made on the U.S. history test (1):
Score Probability
1………………………….0.116
2………………………….0.325
3………………………….0.236
4………………………….0.211
5………………………….0.112
Suppose six students from a class take the test. What is the probability they earn three 5’s, two 4’s, and a 3?