Bit of light thinking for a Sunday morning. This logic problem drove people crazy with how counterintuitive it is.
Named after American TV host Monty Hall, the scenario involves a contestant who is shown three doors, 1 2 and 3. Behind one door is the prize: a car, behind the other two doors are goats. The contestant has no clue where the prize is and has to guess. The host knows what's behind each door.
The contestant chooses door 1. The host then opens door 3 to reveal a goat, and asks if the contestant wants to change their choice. The contestant now knows the car is either behind door 1, their current choice, or door 2.
The bit that drives people up the wall is that the probability of winning the car if you switch to door 2 is 2/3. Why?
Named after American TV host Monty Hall, the scenario involves a contestant who is shown three doors, 1 2 and 3. Behind one door is the prize: a car, behind the other two doors are goats. The contestant has no clue where the prize is and has to guess. The host knows what's behind each door.
The contestant chooses door 1. The host then opens door 3 to reveal a goat, and asks if the contestant wants to change their choice. The contestant now knows the car is either behind door 1, their current choice, or door 2.
The bit that drives people up the wall is that the probability of winning the car if you switch to door 2 is 2/3. Why?