What is the probability that all four students guess the same tire? Also explain your answer.
If you scratch any of the seven non-winning circles, you automatically lose. What is the probability of scratching off the correct three circles? Also explain your answer.
- 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 [but the door is not opened], 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?”
What is your probability of winning the car if you keep your original choice of door #1?
What is your probability of winning the car if you switch your choice to door #2?