j'ai pick ça sur reddit

Suppose you have Bloodstone and played a flush of five hearts. The Bloodstone gave the Mult a factor of X.

(a) Answer what distribution X follows.

(b) Calculate the expected value of X.

(c) Suppose scenario 1, you have Bloodstone and a Blueprint to copy it. And scenario 2, you have the Bloodstone along with a Oops! All 6s. Compare the expected value of X in both scenarios.

(Bloodstone: 1 in 3 chance for played cards with Heart suit to give x2 Mult when scored Oops! All 6s: Doubles all listed probabilities)

EV_calc(5,1/3) = +4.27049 <=> esperance bloodstone
EV_calc(10,1/3) = +17.3311 <=> esperance blueprint+bloodstone
EV_calc(5,2/3) = +12.9871 <=> esperance oop's all 6's + bloodstone
EV_calc(20,1/3)= +324.3554 <=> esperance 3 blueprint empilés + bloodstone

    function EV_calc(n,p) {
        let tab_counters = new Array(20).fill(0);
        for (let k = 0; k < 10000; k++) {
            let active_count = 0;
            for (let i = 0; i < n; i++) {
                if (Math.random() < p) {
                    active_count++;
                }
            }
            tab_counters[active_count]++;    
        }

        let EV = 0;
        for (let z = 0; z < tab_counters.length; z++) {
            EV += (tab_counters[z]/10000) * Math.pow(2, z);
        }
        return EV;
}