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If there are 27 runners in a race and prizes will be

Suppose Fred randomly thinks of 5 whole numbers between 1 and 34 inclusive. What is the probability that George can correctly guess all 5 numbers? Express as a fraction.

If there are 27 runners in a race and prizes will be awarded to first, second, and third places only, what is the probability of correctly predicting the winners in order?

Express as a fraction.

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