Created
September 5, 2023 20:45
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probability of reaching m heads given n coin tosses
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| (let [n 10 | |
| m 5 | |
| expt (clojure.math.numeric-tower/expt 2 n) | |
| number-of-heads (->> (range expt) | |
| (map (fn [i] (count (re-seq #"1" (Integer/toBinaryString i))))) | |
| (filter #(or (>= % m))) | |
| count)] | |
| [expt number-of-heads (+ 0.0 (/ number-of-heads expt))]) | |
| [1024 638 0.623046875] |
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