I am using a formula that has 3 different parameters: alpha, beta and 1-alpha-beta. These 3 parts have to have the same average so also the same probability to be high or low.
I want to draw the alpha and beta simultaneously but together they have to be smaller than 1. It should also be possible that for instance alpha = 0.1 and beta is 0.8.
I already tried to first draw alpha and afterwards draw beta with restriction 1-alpha-beta but this resulted into an alpha that is higher than beta in most cases.
I also tried to just draw 2 random numbers and make a if-loop with the restriction that both should be smaller than 1 but also this resulted into not evenly distributed results since the third part, 1-alpha-beta, was on average smaller than alpha and beta.
Hope you can help me out!
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