SOLUTION: There are 15 students in a high school's basketball team. There are 7 seniors, 3 juniors, 3 sophomores, and 2 freshmen. Find the probability that if 4 are selected there is one of

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Question 1088890: There are 15 students in a high school's basketball team. There are 7 seniors, 3 juniors, 3 sophomores, and 2 freshmen. Find the probability that if 4 are selected there is one of each class in the team.
a. 0.01

b. 0.09

c. 0.15

d. None of the above
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 15%2A14%2A13%2A12%2F%284%2A3%2A2%29=15%2A13%2A7 possible sets of 4 basketball team members.
How many possible sets of 4 basketball team members can be made consisting of one member of each class?
There are 7 possible choices for the senior,
3 possible choices for the junior,
3 possible choices for the sophomore,
and 2 for the freshman,
meaning 7%2A3%2A3%2A2 possible sets of 4 basketball team members with one person from each class.
The probability of randomly selecting such a set of 4 team members is
.
Rounding to 2 decimal places, it is highlight%280.09%29 or 9% .