Answer:
Step-by-step explanation:
Number of Democrats = 6
Number of Republicans = 7
Total number of members = 6+7 = 13
To find:
Probability of selecting two Democrats and two Republicans if 4 members are selected in the committee = ?
Solution:
This is a selection problem.
Total number of ways to select 4 members in the committee out of total 13 =
Number of ways to select 2 Democrats =
Number of ways to select 2 Republicans =
Number of ways to select 2 Democrats and 2 Republicans = 15 21 = 315
Formula for probability of an event E can be observed as:
Here, required probability: