HMMT 二月 2000 · POW 赛 · 第 3 题
HMMT February 2000 — POW Round — Problem 3
题目详情
- Assume that a hand of thirteen ards is dealt from a randomized de k of 52 ards. Let A b e the probabilit y that the hand on tains t w o a es. Let B b e the probabilit y that it on tains t w o a es if y ou already kno w it on tains at least one a e. Let C b e the probabilit y that it on tains at least t w o a es if y ou already kno w it on tains an a e of hearts. W rite do wn the inequalit y relationship b et w een A , B and C , i.e. one p ossibilit y is A = B > C .
解析
- A < B < C . More sp e i ally , A = : 26; B = : 37; C = : 56.