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Lesson 2 : Conditional probability
Conditional probability and independence
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Use conditional probability to see if events are independent or not.
Lesson by Kadin Levin
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Summary
Conditional probability refers to the probability of an event occurring given that another event has already occurred. It is calculated using the formula: P(A | B) = P(A ∩ B) / P(B). Independence means that the occurrence of one event does not affect the probability of another.
Transcript
James is interested in weather conditions and whether the downtown train he sometimes takes runs on time. For a year, James records whether each day is sunny, cloudy, rainy or snowy, as well as whether this train arrives on time or is delayed. His results are displayed in the table below. Alright, this is interesting. These columns, on time, delayed and the total, so for example, when it was sunny, there’s a total of 170 sunny days that year, 167 of which the train was on time, three of which the train was delayed, and we can look at that by the different types of weather conditions, and then they say for these days, are the events delayed and snowy independent?
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