A city council consists of seven Democrats and seven Republicans. If a committee of five people is selected, find the probabili
ty of selecting three Democrats and two Republicans.
1 answer:
Answer:
The probability of selecting three Democrats and two Republicans is 0.36
Step-by-step explanation:
Given:
The Number of Democrats = 7
The Number of Republicans = 7
To Find:
Probability of selecting three Democrats and two Republicans. = ?
Solution:
we have to select a committee of 5 people
Now the probability of selecting three Democrats and two Republicans.
=>![\frac{\mathrm{P}(\text { Selecting three Democrats }) \cdot \mathrm{P}(\text { Selecting three Republicans })}{\mathrm{P}(\text { Selecting } 5 \text { member from total } 14)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cmathrm%7BP%7D%28%5Ctext%20%7B%20Selecting%20three%20Democrats%20%7D%29%20%5Ccdot%20%5Cmathrm%7BP%7D%28%5Ctext%20%7B%20Selecting%20three%20Republicans%20%7D%29%7D%7B%5Cmathrm%7BP%7D%28%5Ctext%20%7B%20Selecting%20%7D%205%20%5Ctext%20%7B%20member%20from%20total%20%7D%2014%29%7D)
=>![\frac{C(7,3) \cdot C(7,2)}{C(14,5)}](https://tex.z-dn.net/?f=%5Cfrac%7BC%287%2C3%29%20%5Ccdot%20C%287%2C2%29%7D%7BC%2814%2C5%29%7D)
=>![\frac{7 C_{3} \cdot 7 C_{2}}{14 C_{5}}](https://tex.z-dn.net/?f=%5Cfrac%7B7%20C_%7B3%7D%20%5Ccdot%207%20C_%7B2%7D%7D%7B14%20C_%7B5%7D%7D)
=>![\frac{35\cdot 21}{2002}](https://tex.z-dn.net/?f=%5Cfrac%7B35%5Ccdot%2021%7D%7B2002%7D)
=>![\frac{735}{2002}](https://tex.z-dn.net/?f=%5Cfrac%7B735%7D%7B2002%7D)
=>0.36
You might be interested in
115% is the same as 1.15
some number = x
115% of some number is 120
1.15 of x is 120
1.15 * x = 120
![\frac{1.15*x}{1.15} = \frac{120}{1.15}](https://tex.z-dn.net/?f=%5Cfrac%7B1.15%2Ax%7D%7B1.15%7D%20%3D%20%5Cfrac%7B120%7D%7B1.15%7D)
x = 104.3478
x ≈ 104.3
Hope this helps! :)
Answer:
or
, if you want the decimal form then its 9.79.
Step-by-step explanation:
14²-10²=96
or
, if you want the decimal form then its 9.79.
Answer:
x=1, y=5
Step-by-step explanation:
Simplest form: 5m^4 - 6m^3
Answer:
-15
Step-by-step explanation: