what is the probablity of winning 2 games when he and his friend plays the game 3 times

Question

Jon and Alex play a game where they shoot water at a target in order to make a car move on a track. The person that gets their car over the finish line first wins. Alex and Jon decide to play the game 3 times. If they are evenly matched, then what is the probability that Jon will win 2 games?

Answer 1

P_{(Jon wins a game)} = 1/2 = .5

P_{(Jon loses a game)} = 1/2 = .5

 

P_{(Jon wins 2 of 3 games)} = .5•.5•.5 = .625

 

A²