Calculating Conditional Probability: A and B Events with A' and B' Notation

In summary, the conversation discusses the probabilities of events A and B occurring, as well as the probability of their intersection (A n B). The formula P(B|A') = P(B n A')/P(A') is suggested to calculate the probability of B occurring if A does not occur. One participant mentions using Bayes' theorem to find the answer.
  • #1
Homewoodm01
9
0
An event A has a 70% chance of occurring, an event B has a 40% of occurring and the event (A n B) has a 20% chance of occurring. The events are not unrelated.

If A does not occur what is the probability of B?

notation A' means (not A)

I have tried to use the formula P(B|A') = P(B n A')/P(A')


However Not sure if that's the right way to go and if A' would be equal to .3.

Please Help :)
 
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  • #3
Thanks for the link, I have used one of Baye's laws hopefully that helps give me the right answer.
 

Related to Calculating Conditional Probability: A and B Events with A' and B' Notation

1. What is conditional probability?

Conditional probability is a mathematical concept that measures the likelihood of an event occurring given that another event has already occurred.

2. How is conditional probability calculated?

Conditional probability is calculated by dividing the probability of the joint occurrence of two events by the probability of the first event. In mathematical notation, it can be expressed as P(A|B) = P(A∩B) / P(B).

3. What is the difference between conditional probability and regular probability?

The main difference between conditional probability and regular probability is that conditional probability takes into account the occurrence of a specific event, while regular probability does not consider any other events.

4. Can conditional probability be greater than 1?

No, conditional probability can never be greater than 1. This is because the probability of an event occurring given that another event has already occurred cannot be greater than the probability of the first event occurring on its own.

5. How is conditional probability used in real-life situations?

Conditional probability is used in many real-life situations, such as in predicting the likelihood of a certain disease given a positive test result, or in determining the chances of winning a game given certain conditions. It is also used in decision-making processes and risk analysis.

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