/sci/ - Science & Math

You have a box which has an unlimited number of white balls, red balls and blue balls. You start picking balls one ball at a time. For a single pick, the probability of picking a red ball is A and B for blue.

Given that B < A, what is the probability that you will get the first blue ball before the first red ball?

You have a box which has an unlimited number of white balls, red balls and blue balls. You pick one ball at random. The probability of picking a red ball is A. The probability of picking a blue ball is B. Given that B < A, what is the probability that you will pick a blue ball before picking a red ball?