There are ten racing horses Player selects three horses as f

There are ten racing horses. Player selects three horses as first, second, and third place winners. To win, those three horses must finish the race in the precise order the player has selected.)

(a)If you buy hundred tickets what is the probability of winning?

(b)Suppose the order of horse of which the horse finish the race is unimportant, what is the probability of winning?

Solution

a)

There are 10P3 = 720 ways to guess the outcome.

Thus, if you buy 100 tickets, the probability that you will win is

P(win) = 100/720 = 0.138888889 [answer]

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b)

If the order is not important, there are 10C3 = 120 ways to guess.

Thus, buying 100 tickets,

P(win) = 100/120 = 0.83333333 [answer]