# Thread: probability of a Hockey team

1. ## probability of a Hockey team

Okay this one seemed a little tricky...I would realy appreciate some help. thank you!

A National Hockey League team is allowed to have 18 "skaters" (non-goalies) in uniform for any one league game. Five of these skaters are allowed on the ice at one time . There are three Forward positions and two Defense positions on the ice. Only Forwards play in the Forward positions and only Defensemen play in the Defense positions. For a particular game, the San Jose Sharks dressed 12 Forwards and 6 Defensemen. How many different stes of five players could Coach Ron Wilson put on the ice at any one time? ( hint: consider this a two satge event.) If each set of five players was equally likely to occur, what probability would you assign to each set of players?

2. Ok.
So you have to pick 5 players.
3 Forward from the 12 Forward, that is 12C3=220 sets
2 defence from the 6 Defencemen, 6C2=15
So, in total are 220x15=3300 possible sets of players.
Since only one is on the ice, you have 1/3300 probability for a set of players to be on the ice.

3. ## wow

that makes alot of sence to me now,I can't believe i didn't think of using the choose theory thanks for ur help.