Should be a little easier than last week's!
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Question 1
In an LCD display some numbers, when viewed upside-down, are images of other numbers. For example, 1995 becomes 5661. The fifth number that can be read upside down is 8, and the 15th is 21, which is 12 when viewed upside-down. What is the millionth number that is meaningful upside-down?
Question 2
You give me $10. Then, I will deal four cards (from a regular 52 card deck), chosen randomly, face down. You get to look at #1 first and decide whether to keep it. If not, look at #2 and decide whether to keep that one. If not look at #3, and decide. If you don't take that, then #4 is your choice. If your chosen value is n, I will pay you $n (Ace = $1, Jack = $11, Queen = $12, and King = $13). Then we can reshuffle the entire deck, you give me another $10, and we can play again, and again, and again. What strategy do you employ so that you can beat this game?
Good Luck!
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