The NCAA men\'s basketball season starts with 327 college teams all dreaming of

Question

The NCAA men's basketball season starts with 327 college teams all dreaming of making it to "the big dance" and attaining the National Championship. Sixty-four teams are selected for the tournament, and only one wins it all. (Assume that every team has an equal chance.

(Give your answers in the form: a:b. Recall that a + b = total chances)

(a) What are the odds against a team being selected for the tournament?

(b) What are the odds of a team that is in the tournament winning the National Championship?

Explanation / Answer

a) Odds against a team being selected for the tournament = chance of not getting selected : chance of getting selected

= 263 : 64

b) Odds of a team that is in the tournament winning the National Championship = chance of winning : chance of not winning

= 1 : 63

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