(function () {
    function mh_case(strategy) {
        const prizeDoorNr = Math.floor(Math.random() * 3 + 1);
        const goatDoorNrs = [1, 2, 3].filter(x => x !== prizeDoorNr);
        const initialPlayerChoice = Math.floor(Math.random() * 3 + 1);
        const playerChosePrize = prizeDoorNr === initialPlayerChoice;
        const hostRevealsDoorNr = playerChosePrize ? (Math.random() > .5 ? goatDoorNrs[0] : goatDoorNrs[1]) : (goatDoorNrs.find(x => x !== initialPlayerChoice));

        switch (strategy) {
            case 'stay': {
                return playerChosePrize;
            }
            case 'switch': {
                const newPlayerChoice = [1, 2, 3].find(x => x !== initialPlayerChoice && x !== hostRevealsDoorNr);
                return newPlayerChoice === prizeDoorNr;
            }
        }

    }

    const NUMBER_OF_GAMES = 10000;
    let choseGoatCount = choseCarCount = 0;
    for (let i = 0; i < NUMBER_OF_GAMES; i++) {
        mh_case('stay') ? choseCarCount++ : choseGoatCount++;
    }
    console.log('stay win%: ', choseCarCount / (choseCarCount + choseGoatCount));

    choseGoatCount = choseCarCount = 0;
    for (let i = 0; i < NUMBER_OF_GAMES; i++) {
        mh_case('switch') ? choseCarCount++ : choseGoatCount++;
    }
    console.log('switch win%: ', choseCarCount / (choseCarCount + choseGoatCount));}()
);