You pick a door on a game show out of three. One of which contains a car and the other two contain goats. The host then shows you a door with a goat behind it and asks if you want to switch what door you want. Should you switch or stay? Also, what are the chances you will get a car if you switch/stay?
2006-07-12 10:16:55 · 21 answers · asked by Anonymous in Entertainment & Music ➔ Jokes & Riddles
I would switch because it would double my chances of winning the car because I had two out of three to pick a goat to start with.
2006-07-12 10:20:35 · answer #1 · answered by Anonymous · 0⤊ 2⤋
It's not that complicated. The chances that you picked the car the first time are 1/3. If you stay, you are betting that your first choice was right and your chances of winning the car are 1/3, just like they were before a door was revealed. The chances that you didn't pick the car the first time are 2/3. If you switch, you are betting that your original chance was wrong (more likely) so your chances of winning are 2/3.
If it seems counter-intuitive, remember that the door that is revealed is not arbitrary. The host will always reveal a goat and never a car. Thus if you picked the car first, the host can reveal either of the other two doors, but if you picked a goat first, the host doesn't have a choice about which door to open.
2006-07-12 10:36:33 · answer #2 · answered by mathsmart 4 · 0⤊ 0⤋
Well in reading your question, you pick a door which will show you a goat or a car, then the host shows you another door. If the one you picked has the car, I would assume you keep it, if it doesn't have a car, switch and you win one.
So if your first pick is the car, your chances are 0% if you switch. If it's a goat, you have a 50% chance of winning the car.
If this makes any sense at all.......
2006-07-12 10:28:14 · answer #3 · answered by bigsquig401 2 · 0⤊ 0⤋
I probably wouldn't switch if I knew of atleast 1 door with a goat behind it. Exclude that door and the chances become 50/50 that you may pick the car.
2006-07-12 10:20:33 · answer #4 · answered by allknowing 3 · 0⤊ 0⤋
If you already know what is behind one of the doors, then the chances are 50/50 that you will get the car. Since you already have a goat, you can't get any worse. If you pick the door with the goat, you have a goat. But, if you pick the other door, you get a car.
2006-07-12 10:20:06 · answer #5 · answered by The Nana of Nana's 7 · 0⤊ 0⤋
Yeah I remember that game show too. The odds increase 50% if you switch the doors. It's not very complicated once you get your head around it. But you forget to mention that the door with the goat behind it is then closed, and the prizes are shuffled.
2006-07-12 10:44:50 · answer #6 · answered by Anonymous · 0⤊ 0⤋
The chance is 1 in 2 u will get a car. I would pick door #2
2006-07-12 10:20:43 · answer #7 · answered by Anonymous · 0⤊ 0⤋
since he show me "a door" meaning it's not the door I picked , then it's a 50/50 chance to get the car I'll stay. cause may be behind the door i picked is the car. just like flipping a coin
2006-07-12 10:20:31 · answer #8 · answered by anguir 2 · 0⤊ 0⤋
I want the door with the car behind it. Though nothing wrong with goats. But I live in city limits.
2006-07-12 10:26:56 · answer #9 · answered by MARIA 4 · 0⤊ 0⤋
Switch with 50% odds
2006-07-12 10:19:02 · answer #10 · answered by tamtamgp7 3 · 0⤊ 0⤋