Suppose that you have 100 cards labeled 1 through 100. You shuttle these cards well so they are in a random order . ( a ) If you deal out 10 cards , what is the expected number of even cards that you just dealt out ? ( b ) If you deal out 50 cards one by one what is the expected number of times you'll deal out a card that was exactly one greater or one fewer than the card before it ? ( eg . if you deal out five cards 3,4,5.1.2 , then 4 , 5 , and 2 were both within one of the previous card ) . ( e ) If you deal out all 100 cards , what is the expected mmber of cards that are greater than their position ? ( eg , if the number 6 were dealt out third )
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