Here is an interesting problem called Monty Hall problem.
Suppose you’re on a game show, and you’re given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what’s behind the doors, opens another door, say No. 3, which has a goat. He then says to you, “Do you want to pick door No. 2?” Is it to your advantage to switch your choice and why? Give a proper mathematical explanation.
Now it is quiet easy to say whether probability would increase or not. the problem comes to give a proper mathematical. Try it, and leave your answer in the comments section. I will give my answer in tomorrow’s post. Please do not refer net. Ask your teachers (like I did), friends, solve in groups but do not refer internet.