surely most of you have seen these before, but just for fun....
1) 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, and always opens a losing door after you make a pick, 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?
2) take all families with two children, at least one of which is a boy. If you pick one of these at random, what's the chance that BOTH children will be male. (assuming of course the genetic odds of having either a girl or boy are an even 50/50)
3) Suppose we have a lottery with 10,000 "scratch-off-the-dot" tickets. The prize: a car. Ten thousand people buy the tickets, including you. 9,998 scratch off the dots on their tickets and find the message YOU LOSE. Should you offer big money to the remaining ticketholder to exchange tickets with you?
annnnnnd now i'm officially just trying to get comments.
i'm so sad......
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