hard to draw trees here, will do it in listing form
we want E to win, as soon as they win 2 games it is all over, no more than 3 games
Possible ways:
EE = .6^2 = .36
ERE = .6(.4)(.6) = .144
REE = .144
prob = sum of those = .648
Two teams, the Exponents and the Radicals, square off in a best of 5 math hockey tournament. Once a team wins 3 games, the tournament is over.
The schedule of the tournament (for home games) goes: E-R-E-R-E
If the Exponents are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is a 45% chance they'll win.
Find the probability that the Exponents win the series. Find this probablitliy by using a tree diagram.
1 answer