3.2/6,8,10,11,18,26,31

Also, from class:

Las Vegas Roulette has 38 numbers:

        0, 00 (in green)
        1,2,3,...,36 (evens are red, odds are black)

        I play by betting 1 dollar on red every time and will play
        until I win 5 times.

        (a) What is the probability I play exactly 8 times?
        (b) What is the probability I play AT LEAST 9 times?
        
For 10: It is enough to write down the expressions for the answer
        involving the binomial coefficients without evaluating it.

For 11: "pieces of pie" is meant to be "pies".
        If we have 5 pieces of each, what is the prob. that each 
        person gets what they want? If 6 of each?, etc....

For 18: You will "bet" if the prob. is greater than 1/2...

Extra Credit: 34 - 

 This is the famous "coupon collector's problem".