11. jillian needs to make a group of 5 people. she has 10 democrats, 13 republicans, and 7 independents to choose from. (a) what is the probability that the group of 5 people will have 2 democrats, 2 republicans, and 1 independent

0.1724 or 17.24%

Step-by-step explanation:

There are  

10+13+7 = 30 people

so there are C(30,5) combinations of 30 elements taken 5 at a time ways to select groups of 5 people.

There are C(10,2) combinations of 10 elements taken 2 at a time ways to select the 2 Democrats

There are C(13,2) combinations of 13 elements taken 2 at a time ways to select the 2 Republicans

There are C(7,1) combinations of 7 elements taken 1 at a time ways to select the Independent

By the Fundamental Principle of Counting, there are  

45*78*7 = 24,570

ways of making the group of 5 people with 2 Democrats, 2 Republicans and 1 independent, and the probability of forming the group is

or 17.24%

hi,

3. 12.15, you are correct.

4.2.01, your first digit is correct,

hope this !