So, with those three balls, what is the chance that you have a red ball, or the chance you have a green ball, or the chance you have a blue ball?īased on a discussion here, it seems the best way to do this is multiply all the probabilities that I won't get what I want, and then just subtract that probability from 100%.īased on that, I calculated these probabilities: Probability of red ball: (1.0 - (0.5 * 0.2 * 0.6)) = 0.94 = 94% In the above example, you would have chosen one ball per bin, for a total of three balls. If you were to choose one ball from each bin in succession, I'm trying to figure out how likely it would be for you to have gotten a particular ball. The distribution of balls in the bins are: Let's say I have three bins (could be any number, but let's say three), and each bin is filled with red, green, and blue balls. I'm trying to calculate probabilities based on a random choice algorithm, and I'm a bit confused about some of the math.
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