Monty Hall problem
Imagine you are on a game-show, there are 3 doors, behind one of those doors is your dream car and the other 2 doors don't have anything behind them, (the game-show host knows where the car is) you choose one door, then from the 2 doors that you didn't pick the host will open one of them to always reveal that there is nothing inside, he then gives you the option to keep or change your answer, should you change or keep your answer? (purely probability)
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1 solution
There are 3 doors, 2 goats and 1 car, so the probability to pick a goat in the start is 2/3 (66%-67%) and 1/3 (33%) chance of picking the car, if you pick a goat at the start you would get the car if you switched and you would get the car if you kept only if you picked the car, you have more chances to pick a goat (2/3) so 2/3 times switching will get you the car and 1/3 keeping will.