SOLUTION: When two teams battle in a championship final, the Stars have a 54% chance of winning a game when playing at home and the Pros have a 57% chance of winning a game when playing at h

Question 1183310: When two teams battle in a championship final, the Stars have a 54% chance of winning a game when playing at home and the Pros have a 57% chance of winning a game when playing at home. In a best-of-three matchup, the first game will be played at the Stars home field, the second game at the Pros home field, and the third game back at the Stars home field.
a) What is the probability the Stars win the final in two straight games?
b) What is the probability the Pros win the final in two straight games?
c) What is the probability the Stars win the final in three games?
d) What is the probability the Pros win the final in three games?
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52795) (Show Source): You can put this solution on YOUR website!

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a) P(s,s) + P(p,s,s) = 0.54*0.43 + 0.46*0.43*0.54 =
b) P(p,p) + P(s,p,p) = 0.46*0.57 + 0.54*0.57*0.46 =
c) P(s,p,s) + P(p,s,s) = 0.54*0.57*0.54 + 0.46*0.43*0.54 =
d) P(p,s,p) + P(s,p,p) = 0.46*0.43*0.46 + 0.54*0.57*0.46 =
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