Answer:
The probability of selecting two Independents is
.
Step-by-step explanation:
From the given information it is clear that:
Democrats = 8
Republicans = 5
Independents = 5
Total number of member in the group is
![8+5+5=18](https://tex.z-dn.net/?f=8%2B5%2B5%3D18)
We need to find the probability of selecting two Independents.
According to binomial distribution the total number of ways to select r items form n items is
![^{n}C_r=\frac{n!}{r!(n-r)!}](https://tex.z-dn.net/?f=%5E%7Bn%7DC_r%3D%5Cfrac%7Bn%21%7D%7Br%21%28n-r%29%21%7D)
Total number of ways to select 2 members from 18 members is
![\text{Total possible outcomes}=^{18}C_2=\frac{18!}{2!(18-2)!}=153](https://tex.z-dn.net/?f=%5Ctext%7BTotal%20possible%20outcomes%7D%3D%5E%7B18%7DC_2%3D%5Cfrac%7B18%21%7D%7B2%21%2818-2%29%21%7D%3D153)
Total number of ways to select 2 members from 5 Independents is
![\text{Favorable outcomes}=^{5}C_2=\frac{5!}{2!(5-2)!}=10](https://tex.z-dn.net/?f=%5Ctext%7BFavorable%20outcomes%7D%3D%5E%7B5%7DC_2%3D%5Cfrac%7B5%21%7D%7B2%21%285-2%29%21%7D%3D10)
The probability of selecting two Independents is
![p=\frac{\text{Favorable outcomes}}{\text{Total possible outcomes}}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20possible%20outcomes%7D%7D)
![p=\frac{10}{153}](https://tex.z-dn.net/?f=p%3D%5Cfrac%7B10%7D%7B153%7D)
Therefore the probability of selecting two Independents is
.
Let songs = S
Kirk needs 6 more songs to have 100
S + 6 = 100
your integer is:
S + 6 = 100
hope this helps
F(x)= 2x-6
Y=Mx+b
B= y intercept= -6
M= how many times it went up so 2 times
Hope this helped :))
Answer:
The greatest common factor of 48 and 32 is 16
Yes because 4x3^x =12^x since the coefficient is added to the answer because it is in the 3.