Let’s assume you are an avid horse racing fan. You are at the track and there are eight races. On this day, the horses and their riders are so evenly matched that chance alone determines the Finishing order for each race. There are 10 horses in every race. If, on each race, you b et on one horse to show (to Finish First, second, or third),

a. What is the probability that you will win your bet in all eight races?

b. What is t he probability that you w ill win i n at least six of the races? other

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