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

In summary, a baseball player has a 34% chance of hitting a home run and a 40% chance of getting a strike out in his games. Additionally, in 78% of his games, he either hits a home run or his team wins. In 10% of his games, he hits a home run and gets a strike out, while 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, and in 7% of his games, he hits a home run, gets a strike out, and his team wins. The question asks for the probability of his team winning if he does not hit
  • #1
Nyasha
127
0

Homework Statement


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
[tex]
P(W| H\prime)=\frac{P(W \cap H\prime)}{P(H(\prime)}= \frac{P(H)-P(W\cap H)}{1-P(H)} [/tex]


How come l use this equation l get the wrong answer ? Can someone please correct me on where l am wrong ?
 
Last edited:
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  • #2
maybe show & explain what you did will help find where you went wrong
 
  • #3
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.
 

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

What is conditional probability?

Conditional probability is the likelihood of an event occurring given that another event has already occurred. It is calculated by dividing the probability of both events occurring by the probability of the first event occurring.

How is conditional probability different from regular probability?

Regular probability is the likelihood of an event occurring without any additional information. Conditional probability takes into account prior knowledge or an event that has already occurred, and adjusts the probability accordingly.

What is the formula for calculating conditional probability?

The formula for calculating conditional probability is P(A|B) = P(A and B) / P(B), where P(A|B) is the conditional probability of event A given event B, P(A and B) is the probability of both events A and B occurring, and P(B) is the probability of event B occurring.

What is the relationship between conditional probability and independence?

If two events are independent, the occurrence of one event does not affect the probability of the other event occurring. In this case, the conditional probability of event A given event B is equal to the probability of event A, and the events are considered to be independent. If the conditional probability is greater or less than the original probability, then the events are not independent.

How can conditional probability be used in real-life scenarios?

Conditional probability can be used in many real-life scenarios, such as weather forecasting, medical diagnoses, and predicting stock market trends. It is also commonly used in machine learning and data analysis to make predictions or identify patterns.

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