16 lines
1.0 KiB
Markdown
16 lines
1.0 KiB
Markdown
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---
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title: Conditional Probability
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---
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## Conditional Probability
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A conditional probability is the probability of an event, given some other event has already occurred. So, for example, the conditional probability of an event **A** is the probability that the event will occur given that an event **B** has already occurred. This probability is denoted as `P(A|B)`.
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The conditional probability of an event **A** given that an event **B** has occurred is written as follows:
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 **as long as P(B) > 0**
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**NOTE** - In the case where events **A** and **B** are independent (where event **B** has no effect on the probability of event **A**), the conditional probability of event **A** given event **B** is simply the probability of event **A**, i.e. `P(A)`.
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### Resources
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- [Conditional Probability - Wikipedia](https://en.wikipedia.org/wiki/Conditional_probability)
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- [MIT OpenCourseWare - Youtube](https://www.youtube.com/watch?v=JGeTcRfKgBo)
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