Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,![\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}](https://tex.z-dn.net/?f=%5Cto%20%5EnC_r%20%3D%20%5Cfrac%7Bn%21%7D%7B%28r%21%20%5Ctimes%20%28n-r%29%21%29%7D)
P(wins the player) = ![\frac{1}{\text{Any combinations of possible numbers}}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Ctext%7BAny%20combinations%20of%20possible%20numbers%7D%7D)
![= \frac{1}{^{20} C_3}\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B%5E%7B20%7D%20C_3%7D%5C%5C%5C%5C)
![= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%7B20%21%7D%7B%283%21%5Ctimes%2017%21%29%7D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B1140%7D%5C%5C%5C%5C%3D%200.00088)
1.) 3(5 - 2x) = -2(6 - 3x) - 10x
15 - 6x = -12 + 6x - 10x
-6x - 6x + 10x = -12 - 15
-2x = -27
x = -27/-2 = 13.5
x = 13.5
2.) 1/4x - 2/5x = 39
-3/20x = 39
x = (39 x 20)/-3 = -260
x = -260
3.) 115 = 20 + 2.5x
2.5x = 115 - 20 = 95
x = 95/2.5 = 38
x = 38
4.) 0.7x - 0.2 = 8.3x + 7.2
8.3x - 0.7x = -0.2 - 7.2 = -7.4
7.6x = -7.4
x = -7.4/7.6 = -37/38
x = -37/38
199.81 is the answer to your question.