You are a contestant on a game show. You have to pick between 3 doors; there's a car behind one, and goats behind the other two (you want a car, obviously). You pick one of the doors. The host, who knows what's behind each door, opens one of the other two doors to reveal a goat.
Now he gives you the choice of either sticking with the door you first picked, or switching to the remaining unopened door. Does one strategy make more sense than the other? Why or why not?
2006-08-15 16:06:21 · 6 answers · asked by Anonymous in Entertainment & Music ➔ Jokes & Riddles
mmhm... I won't go into the details. Its counterintuitive, but if you change, you actually increase your chance to 66%.
2006-08-15 16:12:00 · answer #1 · answered by iamigloo 6 · 0⤊ 0⤋
In making your initial choice, you will be wrong two times out of three (pick a goat instead of the car). Since the host shows you one goat, then switching to the remaining door reverses your choice (if you had picked a goat, you get the car and vice versa). Therefore, since you will be wrong on your initial choice two times out of three, switching will give you the correct choice two times out of three. Your odds will be better by switching.
2006-08-15 16:33:50 · answer #2 · answered by Magic One 6 · 0⤊ 0⤋
JDrumming is inaccurate. truth seeker has the right answer, yet right that's yet in a special way of wondering about it for rationalization. Say that your pal has one hundred cups grew to grow to be the incorrect way up, and tells you there's a marble less than one. when you opt on one, your pal flips over ninety 8 cups. in case you guessed properly the first time, your pal leaves an empty cup unturned, if no longer, your pal, understanding the position the marble is, leaves the marble cup unturned. for this reason, initially, you had a a million/one hundred probability of guessing properly even as the danger that the marble grow to be less than yet another cup grow to be ninety 9/one hundred. After revealing all the different cups, is it more effective in all probability that you guessed proper the first time, or that your pal left the cup with the marble unturned?
2016-11-25 20:11:40 · answer #3 · answered by mengesha 4 · 0⤊ 0⤋
I wouldn't go for the other door.I would stick to the first door for even its a goat its worth a few bugs.
2006-08-15 16:18:56 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Excuse me ,please , for pointing this out...you can not choose BETWEEN three things. You choose AMONG three things. Now, to answer your question....assuming that the show is honest, it's a toss-up. You have a 50/50 chance. I do not see any other way to look at it.
2006-08-15 16:15:00 · answer #5 · answered by I am Sunshine 6 · 0⤊ 1⤋
Yep, iamigloo got it right when I asked it, and every time it's been asked since, I think...
http://answers.yahoo.com/question/index;_ylt=Aqg0RfKxElZNEzQzUPeeVivsy6IX?qid=20060728003748AAn77JX
2006-08-15 16:17:31 · answer #6 · answered by 42ITUS™ 7 · 0⤊ 0⤋