Answer:
The probability that the new subcommittee will contain at least 2 Democrats is about 0.57.
Step-by-step explanation:
Given information:
Republicans = 8
Democrats = 5
Total committee = 13
Possible ways to select 0 Democrat in group of 4 subcommittees.
Possible ways to select 1 Democrat in group of 4 subcommittees.
Possible ways to select 2 Democrat in group of 4 subcommittees.
Possible ways to select 3 Democrat in group of 4 subcommittees.
Possible ways to select 4 Democrat in group of 4 subcommittees.
Total possible ways to select at least 1 Democrat in group of 4 subcommittees is
Total possible ways to select at least 2 Democrat in group of 4 subcommittees is
The formula for probability is
Therefore, the probability that the new subcommittee will contain at least 2 Democrats is about 0.57.