Ben Chuanlong Du's Blog

And let it direct your passion with reason.

Probability to Lose All Money

A few days ago I found someone asking an interview questions on mitbbs. The question is as follows. A gambler plays a fair game and bet 1 dollar each time. If he lose all his money, the game stops. Suppose he has 10 dollars and is only allowed to play …

Basketball Player

Suppose a basketball player make \(N\) shots, and we know that in the first \(n(\le N)\) shots he sinked \(m(\le n)\) shots. If from the \((n+1)^{th}\) shot, his ratio of sink a shot is his accumulative ratio before the shot, e.g., suppose he sinked 40 …