Capturing the probability space helps us grasp complexity space. It guides us to optimize the conditions and court the odds to our favor, or least gives us the `eye` to `see` what to avoid and which game we do not pit against. Before the start of the game, we can see the `probability terrain`, and know how and where to position ourselves to lift and steer the situation, and/or uplift ourselves to the best turn.
🟢 Seeing The `Possibility Scenarios` Within The `Probability Universes`
“God” does run out of creativity in the given space of probability. — 2025–05.21
🧃 Example: If someone asked on the Probability of getting the shots in …
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Getting k of 2 shots
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Getting k of 3 shots
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There are getting [no] shot: 1 hit; getting [1] shot: 1 hit, and 1 miss; getting [2] shots: 2 hits, 2x {1 hit, and 1 miss} and 2 misses; getting [3] shots: 3 hits, 3x {2 hit, and 1 miss}, 3x {1 hit, and 3miss} and 3 misses; …. The Pascal tree helps us with `seeing` permutations. To capture combinatorics, it is n!/( k! * (n-k)! )
📌 Key Idea: Each piece the scenes 1 scenario at a time.
