All
in all there are 16 teachers and students. The number of ways that 4 members
can be selected is calculated through the use of the combination equation.
n
= 16C4
n
= 1820
The
number of ways that exactly two members can be chosen from each group can be
calculated the same way as above and multiplying the results. This operation is
shown below.
N
= (10C2) x (6C2)
N
= 675
The
probability is computed by dividing N by n.
Probability
= (675/1820)
P
= 0.37 or 37%
Thus,
the probability that exactly 2 members from each group will be chosen is equal
to 37%.
