Kī o rahi tournament

This task is about using a tree diagram to work out the probability of something.

In a kī o rahi tournament, the probability of a game ending in a draw is 1/3.
 

 

a)
After 48 games, what number of games would you expect to end in a draw?
 
__________
 
b)
 
What is the probability of a team drawing their first two games in the tournament?
 
__________
 
c)
 
What is the probability that a team does not have a draw in either of their first two games?
 
__________
 
d)
 
If a team played three games, what is the probability that their only draw was in the third game?
 
__________