Choose The Right Door (Puzzle Game) Mac OS
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The 'three door puzzle' is an interesting and unusual probability question. Here's how it works. You are a contestant in a game show, and the game show host tells you there is a prize behind one of the three doors you face. You have to guess which door to open.
But when you make your guess, instead of opening the door you picked, the game show host opens a different door...one that he knows has nothing behind it. So now you're down to two doors. And the game show host says, 'I'll let you change your choice, if you want to.'
And the question is, do you change your guess? Or keep your original choice?
The natural assumption is that it makes no difference, and so people tend to keep their original guess - reasoning being that we all know you should never 'second guess' yourself. But is that really a wise choice?
Wisely Choosing A Door. The 'three door puzzle' is an interesting and unusual probability question. Here's how it works. You are a contestant in a game show, and the game show host tells you there is a prize behind one of the three doors you face. You have to guess which door to open. Puzzle for Mac OS Free Puzzle is a genre of computer games where a player must solve logical problems using strategic and logical knowledge, as well as intuition. The first puzzles that inspired the creation of computer versions were mechanical, desktop, and graphic tasks like the Rubik's Cube and various crosswords.
When you pick your door, the probability that you picked the correct one is one-third (1/3). Thus, the probability that you chose incorrectly is two-thirds (2/3). Nothing that the game show host does at this point has ANY effect on that probability.
Let's suppose that you guessed correctly. Then it makes no difference what the game show host does, the other door is always the wrong door. So in that case, by keeping your choice, the probability that you win is 1/3 x 1 = 1/3.
But let's suppose you guessed incorrectly. In that case, the remaining door is guaranteed to be the correct door. Thus, by keeping your choice, the probability of winning is 2/3 x 0 = 0.
Your total chances of winning by keeping your guess is: 1/3 + 0 = 1/3.
Again, let's suppose that you guessed correctly. By changing your guess the probability that you win is 1/3 x 0 = 0.
But let's suppose you guessed incorrectly. Again, this means that the remaining door must be the correct one. Therefore by changing your choice, the probability of winning is 2/3 x 1 = 2/3.
Your total chances of winning by changing your guess is: 2/3 + 0 = 2/3.
It seems counter-intuitive, doesn't it? It seems that it shouldn't matterwhether you keep your guess or change it. Do you need more convincing? There are a few ways you can convince yourself that this is true.
- Get a friend and do a simulation. Have your friend pick a door without telling you, and go through the whole process. Always keep your guess, and see how often you come up a winner. If you do this enough times, you'll find that your probability settles right around 1/3.
- Alternately, do it the other way around. Always change your guess. You'll find that you win about two thirds of the time.
- Still not convinced? Okay, let's imagine another game, in which there are a million doors! You pick one. What are the chances that you picked correctly? 1/1,000,000. Now the game show host opens all but one of the other doors. What guess would you make about the location of the prize now?
Choose The Right Door (puzzle Game) Mac Os 7
Come and play best puzzle games for Mac OS. Here you will find the top logic games on web and such classic board games as mahjong, nonograms, sudoku and sliding puzzles. The woman audience will definitely estimate the variety of jigsaw puzzles and beautifully drawn solitaire games. It is also a trend to merge various genres within a game, thus logic games often come up as mini-games in seek-and find titles. These games are commonly referred as hidden object puzzle adventure games, or HOPAs.
So, if you prefer to discover a story as you solve different riddles, don’t hesitate to visit our hidden object games category. Match 3 puzzles also tend to feature some sort of storyline, Jewel Quest and The Treasures of Montezuma game series being bright examples of the kind. As you may see, the majority of the brain teasers are family friendly, so you can enjoy them together with your children. However we also have a separate catalogue where you can download puzzle games for kids along with other educational games for Mac.