Ask your own question, for FREE!
Mathematics 15 Online
OpenStudy (brainzonly):

Imagine you're on a game show, and you're given the choice of three doors: Behind one door is a million dollars, and behind the other two, nothing. You pick door #1, and the host, who knows what's behind the doors, opens another door, say #3, and it has nothing behind it. He then says to you, "Do you want to stick with your choice or switch?" So, is it to your best advantage to stick with your original choice or switch your choice? (DO NOT SCROLL DOWN UNTIL YOU HAVE FOUND THE ANSWER!!)

OpenStudy (brainzonly):

@Kevin Enjoy! :D

OpenStudy (jonathan34):

BRO! HELP ME!

OpenStudy (brainzonly):

I can't resist... The Answer: You should always switch your choice! The Explanation: When you first picked one of the three doors, you had a 1 in 3 chance of picking the door with the prize behind it, which means you had a 2 in 3 chance of picking an empty door. What people get wrong here is thinking that because there are only two doors left in play, you have a 50% chance your first choice was correct. In actuality, your chances never changed. There's still a 1 in 3 chance you picked the right door and a 2 in 3 chance you picked an empty door, which means that when the host opened one of the empty doors, he eliminated one of the WRONG choices and the chances that the prize is behind the last closed door is still 2 in 3 — double what the chances you picked the right door at first are. So, basically, by switching your door choice, you're betting on the 2 in 3 chance you picked the wrong door at first. Sure, you aren't guaranteed to win if you switch, but if you play the game over and over, you'll win 2/3rds of the time using this method!

OpenStudy (brainzonly):

:D Was your answer right?

OpenStudy (kevin):

OMG... I didn't read the the command, I've just scroll and find the answer below your question XD

OpenStudy (brainzonly):

LOL sorry i'm playing darkorbit and doing this at the same time. I got distracted! :D

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!