Don’t confuse the “given” event with the final combined conditional event, or you will have fallen victim to a conditional probability pitfall.
Find the facts in “The Pitfall that Conditional Probability is Not Commutative“, my latest article in Decoded Science.
Do We Even Use Conditional Probability?
Yes, we do. Especially those of you who raise your bets when the cards are going your way. Or, every time you think, “I need to make a good first impression to improve my chance of landing that job”.
This article stands alone, but is part of a series about probability theory that I’m writing for Decoded Science.
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Although I had to make some of my own images, there are more enjoyable pictures in the main article.
I used Eric W Weisstein’s “Conditional Probability“, in MathWorld-Wolfram, as my reference material; but contributed my own examples and explanations.
As always, I also publicize the main article in my Blog of Writing, where “Preview of Non-Commutative Conditional Probability” includes a bonus writing tip.
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Thank you for reading about conditional probability.
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