It\'s a hot summer day in the Central Valley. Two children Alice and Bob are engaged in a water balloon (cid:12)fight. Alice hits her target with 75% probability while Bob is 50% accurate. They take turns throwing water balloons, with Alice going (cid:12)first, until one of them is hit by a balloon. What is the chance that Bob is the winner (scores the (cid:12)first hit)? Solution The chance of Alice missing is 1/4 and the chance of bob hitting is 1/2. Multiply 1/4*1/2=1/8.

1. It's a hot summer day in the Central Valley. Two children Alice and Bob are engaged in a water
balloon fight. Alice hits her target with 75% probability while Bob is 50% accurate. They take
turns throwing water balloons, with Alice going first, until one of them is hit by a balloon. What
is the chance that Bob is the winner (scores the first hit)?
Solution
The chance of Alice missing is 1/4 and the chance of bob hitting is 1/2. Multiply
1/4*1/2=1/8