Deandre Jordan's Free Throw Statistics

The video discusses the William Lowell Putnam Mathematical Competition, highlighting its legendary difficulty. It presents a problem from the 2004 exam involving a basketball player's free throw percentage. The problem asks if there was a point during the season where the player's percentage exactly equaled 75%. The video provides a solution using proof by contradiction, showing that the percentage must equal 75% at some point. It also generalizes the proof for any percentage represented as a fraction k-1/k. The video concludes by encouraging viewers to practice and improve their skills.

What is the duration of the Putnam Competition?

• 3 hours

• 6 hours

• 9 hours

• 12 hours

How many questions are there in the Putnam Competition?

• 15 questions

• 10 questions

• 6 questions

• 12 questions

What is the maximum score one can achieve in the Putnam Competition?

• 60 points

• 100 points

• 150 points

• 120 points

What is the average median score in the Putnam Competition?

• 10 points

• 1 point

• 0 points

• 5 points

What is the main topic of the free throw problem discussed?

• Football

• Basketball

• Baseball

• Soccer

What was Deandre's free throw percentage at the start of the season?

• Below 80%

• Below 50%

• Below 60%

• Below 75%

What is the mathematical representation of Deandre's successful free throws?

• p(n)

• f(n)

• t(n)

• s(n)

What percentage did Deandre's free throw percentage exceed by the end of the season?

• 75%

• 80%

• 70%

• 60%

Why is the free throw problem considered easier on the Putnam exam?

• It involves simple arithmetic

• It is one of the easier problems asked

• It requires no proof

• It is a common problem type

What was Deandre Jordan's free throw percentage improvement from 2015 to 2018?

• From 30% to 60%

• From 45% to 75%

• From 55% to 85%

• From 50% to 80%