contradiction proof: successful free throws and percents

[vikramtiwari]

Very tricky contradiction problem:-

Basketball player Michael keal's team statistician keeps track of the number, S(N), of the successful free throws he has made in the first N attempt of the season. Early in the season, S(N) was less than 80% of the N, but by the end of the season S(N) was more than 80% of the N. Was there necessarily a moment in between when S(N) was exactly 80% of N?

Use proof by contradiction and assume there was no such moments. Then S(N) much jump over 80% at one time....

 

[Deleted member 4993]

Re: contradiction...

Very tricky contradiction problem:-

Basketball player Michael keal's team statistician keeps track of the number, S(N), of the successful free throws he has made in the first N attempt of the season. Early in the season, S(N) was less than 80% of the N, but by the end of the season S(N) was more than 80% of the N. Was there necessarily a moment in between when S(N) was exactly 80% of N?
Use proof by contradiction and assume there was no such moments. Then S(N) much jump over 80% at one time....

Duplicate post:

http://www.mathhelpforum.com/math-help/ ... ction.html