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

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) (Show Source): You can put this solution on YOUR website!
There are 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 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 or 9% .
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