chance of winning in a popular game

hi, hope you can help with this problem
A, B, C, and D play a game

A's mean score is 34 (sd 3), B mean 33 ( sd 3.5), C mean 32 (sd 4.0), D mean 30 (sd 4.5)
1. what is the chance of each player winning? (scores are whole integers only, highest score wins, assume ties equal chance of each tied player winning)

2.can you guess what the game is?

3. if there were 100 players (10 like A, 30 B, 40 C, 20 D), what is the chance of each player type winning?

many thanks