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In: Statistics and Probability

6 similar cars are entered in a race. The cars all have an equal chance of...

6 similar cars are entered in a race. The cars all have an equal chance of winning and there are no ties. Spectators are invited to complete a single prize ticket with their guesses for which cars will finish in first, second, and third place. The spectators who correctly guess the first, second, and third place finishers will get a small prize.

  • How many different ways can a prize ticket be completed?
  • What is the probability that a spectator will wins the small prize?
  • Suppose spectators are allowed to complete 7 different prize tickets. What is the probability that a spectator, with 7 prize tickets, will wins the small prize?

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