/*

Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats.

You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat.

He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?

*/

var arr = [1,0,0];

function choice() {

return Math.floor(Math.random() * 3);

}

function showSheep(choicedDoor) {

switch(choicedDoor) {

case 0:

return (Math.floor(Math.random() * 2) + 1);

case 1:

return 2;

case 2:

return 1;

}

}

function gameStart(){

var c = choice();

var s = showSheep(c);

return changeTo(c, s);

}

function changeTo(choicedDoor, showedDoor) {

return (3 - choicedDoor - showedDoor)

}

var total = 10000;

var winTimes = 0;

while(total){

if(gameStart() === 0){

winTimes++;

}

total--;

}

console.log(`If switch choice, play this game 10000 times win ${winTimes} lose ${10000-winTimes}`)

console.log("conclusion: swith choice is twice probability win a car");