I want to do a standard picking a random number by weighted probability problem.
Example Data Set:
Person A 70 Person B 30 Person C 40
So normally, these are the probabilities of being picked randomly:
Person A 50% Person B 21% Person C 29%
Now I want to make it so it's inverted, where the higher your probability, the less likely you are to be picked. How do I invert it?
The way I tried:
Invert the probabilities
Person A 50% Person B 79% Person C 71%
Add those up
.5 + .79 + .71 = 2
Divide them by the new total:
Person A .5/2 = 25% Person B .79/2 = 40% Person C .71/2 = 35%
I'm not confident in that answer though - is that the correct way of donig it? Or am I thinking about it wrong?