SOLUTION: Can you please help me with this problem? Consider a political discussion group consisting of 4 democrats, 7 republicans and 5 independents. Suppose that 2 group members are rando

Question 1071310: Can you please help me with this problem?
Consider a political discussion group consisting of 4 democrats, 7 republicans and 5 independents. Suppose that 2 group members are randomly selected in succession, to attend a political convention. Find the probability of selecting 2 independents.

Thank you

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
There are different
pairs of independent discussion group members
that could happen to be selected to attend the convention.
That number is combinations of 5 taking 2 at a time.
The entire discussion group is made of members.
From that group, the number of different possible member pairs is
.
That number is combinations of 16 taking 2 at a time.
Since only of those pairs have 2 independent members,
the probability of that happening is
.
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