Thirty runners compete in a cross country race. your school has five runners in the race. what is the probability that three runners from your school place first, second, and third.

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Mathematics

Paddy

21 September, 15:18

Thirty runners compete in a cross country race. your school has five runners in the race. what is the probability that three runners from your school place first, second, and third.

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Gustavo Thomas · Answer 1

If all runner have an equal chance, the probability of your school placing 1st, 2nd, and 3rd would be 1/30 for 1st place, 1/29 for 2nd place, and 1/28 for 3rd place. This would be individually. To find the probability of all 3 of these things occurring, you multiply these separate probabilities together: 1/30 x 1/29 x 1/28 = 1/24360 chance of this happening.