vault backup: 2026-07-28 16:27:30
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@@ -7,3 +7,7 @@ A Probability for each possibility: Pr[x] = p where p $\in$ [0,1]
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`For a coin flip this would be Pr[Heads] = 1/2 and Pr[Tails] = 1/2`
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Combine all probabilities for all possible outcomes as vector to get probability distribution+
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A valid distribution d has $\sum d_i = 1$ and for all i is $d_i \geq 0$
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For a coin flip the probability distribution would be $d_coin \in \mathbb{R}^2$ with $d = (1/2, 1/2)^t$
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### Probabilistic processes
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A probabilistic process is a Matrix A $\in$ $\mathbb{R}^{N \times N}$ if every column of A is a valid probability distribution
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