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In horse​ racing, a trifecta is a race in which you must pick the​ first-, second-, and​ third-place winners in their proper order to win a payoff. If horses are​ racing, and you randomly select three as your bet in the​ trifecta, what is the probability that you will​ win? (Assume that all horses have the same chance to​ win)

Respuesta :

0.0030  is the probability that you will​ win .

In statistics, what does a probability mean?

  • The likelihood that an event will occur in a Random Experiment is measured by probability.
  • A number between 0 and 1 is used to quantify probability, where, broadly speaking, 0 denotes impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.

Here order of selection is important, so we will use permutation.

Total number of ways to choose 3 horses out of 8 = 8P3 = 8! / (8 - 3)! = 336

P(win) = 1/336 = 0.0030

Learn more about probability

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