TY - JOUR
AB -  We are given n sticks of lengths 1, 2, 3, …, n and three are selected at random. Which selections enable a triangle to be formed? This question can be written in the form of a game: you win if a triangle can be formed from the three numbers interpreted as side lengths, you lose if they do not. We let ℕ n = {1, 2, 3, …, n}, and see there are two variants of the game: • From ℕ n draw at random three numbers sequentially. At each stage do not replace the drawn number. • From ℕ n a number is drawn at random and is recorded. In three stages three numbers are drawn. Replace the number at each stage. 
TI - How to play the triangle game
JO - The Mathematical Gazette
DO - 10.1017/mag.2017.1
DA - 2017-02-03
UR - https://www.deepdyve.com/lp/cambridge-university-press/how-to-play-the-triangle-game-uKCu0DL12m
SP - 1
EP - 10
VL - 101
IS - 550
DP - DeepDyve
ER -