Answer:
The probability of selecting the color of ball that you just selected(a red ball) is ![P(r) = \frac{2}{10}](https://tex.z-dn.net/?f=P%28r%29%20%3D%20%20%5Cfrac%7B2%7D%7B10%7D)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is ![k = \$ P(A)](https://tex.z-dn.net/?f=k%20%3D%20%20%5C%24%20P%28A%29)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
![k = \frac{0.10 }{10}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B0.10%20%7D%7B10%7D)
=> ![k = 0.01](https://tex.z-dn.net/?f=k%20%3D%20%200.01%20)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
![P(r) = \frac{2}{10}](https://tex.z-dn.net/?f=P%28r%29%20%3D%20%20%5Cfrac%7B2%7D%7B10%7D)