Pick a door, any door. What are your odds of having chosen the winning door? 1 in 3.
After you have chosen, with all doors remaining closed, if I offer you the contents of BOTH of the remaining doors, in exchange for your ONE door, does it increase your odds if you switch?
Sure. You've got a 2 in 3 chance of winning.
The game show host is effectively giving you both of the remaining doors, so take 'em.
After you have chosen, with all doors remaining closed, if I offer you the contents of BOTH of the remaining doors, in exchange for your ONE door, does it increase your odds if you switch?
Sure. You've got a 2 in 3 chance of winning.
The game show host is effectively giving you both of the remaining doors, so take 'em.