2) If you flip a coin 10 times, then what is the probability that you will NOT get the same result on every flip? (hint: there are two cases in which you do get the same results on every flip)

Listed below are the names of various horses, and the probabilities that each will win in a series of three independent aces. Use these values for Problems #3 through 5. Race 1 Horse Probability of Winning A .23 B .16 C .34 D .27 Race 2 Horse Probability of Winning E .18 F .39 G .31 H .12 Race 3 Horse Probability of Winning I .43 J .15 K .32 L .10 3) What is the probability that horses C, E, and K will all win?

4) What is the probability that either horse A or horse C will win? 5) What is the probability that either horse A, horse B, horse C, or horse D will win? 6) [ 3 pts. ] Suppose that for any child in a particular family, black hair, blonde hair, red hair, and green hair are all equally likely. If this family has two children, what is the probability that the kids will have the same hair color? 7) Suppose that in a different family, the probability of a child having black hair is .45, the probability of a child having blonde hair is .3, the probability of a child having red hair is .1, and the probability of a child having green hair is .15. If this family has two children, what is the probability that both children will have the same hair color?

8) In a litter of 4 puppies, what is the probability the litter will contain EXACTLY ONE female puppy?