Behind one door is a valuable prize, but behind the other two doors is junk. after the contestant has chosen a door, the host always opens one of the remaining doors which he knows has junk behind it, and asks if the contestant would like to stick with the initial choice or switch to the remaining unopeded door. If you were the contestant, would you stick, switch, or possibley choose the options at randon? First answer with your gut. Then systematically list out the possible outcomes and show me what the probability of sucess of each move is.
2007-05-01 16:40:33 · 6 answers · asked by iwantmyskin1234 1 in Science & Mathematics ➔ Mathematics
If you stay with your first guess, your odds of winning are 1/3; however, if you always switch, your odds of winning are 2/3.
2007-05-01 16:44:28 · answer #1 · answered by bruinfan 7 · 1⤊ 1⤋
This is a famous problem in probability known as the Monty Hall Problem, named after the emcee of the game show "Let's Make a Deal". The contestant should switch doors. The odds are 1/3 he or she picked the correct door. Switching increases the odds to 2/3, because Monty always reveals a door with junk.
For more information, do a search on "Monty Hall Problem" - you'll be surprised how many hits you get!
2007-05-01 16:46:24 · answer #2 · answered by Anonymous · 0⤊ 1⤋
I will obviously choose by random, there is no rational way to choose the correct door. And statistics isnt much of a help since the contestant will finally be having 2 doors to choose. So the probability of winning choosing any of the 3 doors is 50% since one door will be eliminated.
2007-05-01 17:39:11 · answer #3 · answered by Arturo C 2 · 0⤊ 0⤋
Your chance is 1 in 3 no matter what. After the host opens one of the junk doors, it's obvious you're now 1 in 2 no matter if you switch or not. It's as simple and no more complicated than that.
2007-05-01 16:49:52 · answer #4 · answered by felasbigdaddy 2 · 0⤊ 1⤋
The Bulls would win in 5. If a crushed down, shorthanded 2013 Bulls group, would desire to get a recreation on them, then the Jordan group would dominate. the sole reason the warmth would win a recreation is as a results of the fact Lebron would have a monster recreation with like 50 factors.
2016-10-04 05:54:46 · answer #5 · answered by carol 4 · 0⤊ 0⤋
There is a one out of three chance of a move being a good one! There is a 33.333% chance that you will pick the right door and a 66.666% chance you will pick the wrong one! Hosts dont 't always temp them with the wrong one because they know the contestant doesn't know where it is either way so it dont matter! I would probably choose the first one I picked because it doen't have a better or worse chance then the others
2007-05-01 16:48:02 · answer #6 · answered by psilocyphener 3 · 1⤊ 1⤋