Answer:
The probability is [tex]\frac{3}{20}[/tex]
Step-by-step explanation:
Consider a political discussion group consisting of 10 Democrats, 10 Republicans, and 5 Independents.
Total members of the group = [tex]10+10+5=25[/tex]
Selecting 2 republicans in succession means selecting 1st republican out of 10 republicans and total 25 members and then selecting 2nd republican out of 9 left republicans and 24 members.
Hence, probability becomes:
[tex]\frac{10}{25}\times \frac{9}{24}[/tex]
= [tex]\frac{90}{600} =\frac{3}{20}[/tex]
So, the probability is [tex]\frac{3}{20}[/tex]
