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On a television game show, a contestant is shown a set of 5 prizes and a...

On a television game show, a contestant is shown a set of 5 prizes and a set of 5 price tags. If he matches all of the price tags to their correct prizes, then he wins all of the prizes; otherwise, he wins nothing. What is the probability that he wins by placing the price tags with the prizes completely at random?

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Answer #1

number of ways to tags price tags to prizes =5! =120

and number of correct ways =1

hence probability that he wins by placing the price tags with the prizes completely at random =1/120

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