# Conditional probability

1. Oct 14, 2009

### Nyasha

1. The problem statement, all variables and given/known data
A baseball player compiles the following information :

He hits a home run in 34% of his games
He gets a strike out in 40% of his games
In 78% of his games he hits a home run or his team wins
In 10% of his games he hits a home run and gets a strike out
In 26% of his games he hits a home run and his team wins
In 28% of his games he gets a strike out and his team wins
In 7% of his games he hits a home run, gets a strike out and his team wins

What is the probability that the players team wins if he doesn't hit a home run ?

The attempt at a solution
$$P(W| H\prime)=\frac{P(W \cap H\prime)}{P(H(\prime)}= \frac{P(H)-P(W\cap H)}{1-P(H)}$$

How come l use this equation l get the wrong answer ? Can someone please correct me on where l am wrong ?

Last edited: Oct 14, 2009
2. Oct 15, 2009

### lanedance

maybe show & explain what you did will help find where you went wrong

3. Oct 15, 2009

### blake knight

The only hint I can probably suggest is for you to focus on what is being asked, analyze the question very carefully, then gather the informations given above that "only" relates to the question.