There are 6 doors. Behind one is a car, and behind the other five are goats. You pick one door. The host, knowing the car's location, then opens 4 of the remaining doors, all revealing goats. You are then offered the opportunity to switch your choice to the one remaining unopened door. What is the probability of winning the car if you decide to switch?
Show answer & explanation
Correct answer: D
Explanation
There are 6 doors in total.
If the car is chosen initially, the probability of losing upon switching = 1/6.
If a goat is chosen initially, the probability of winning upon switching = 5/6.