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2 cards from this section. Quick, good the night before a test.
What is the formula for conditional probability?
Think about the relationship between A and B.
Give an example of mutually exclusive events.
Think about outcomes that cannot co-occur.
What does P(A|B) represent?
Think about how we define conditional probabilities.
If P(A) = 0.2 and P(B) = 0.3 are independent, what is P(A ∩ B)?
Remember the product rule for independent events.
In a factory, 80% of machinery is working. If a machine is selected and found to be faulty (20% failure rate), what is the conditional probability that another machine from the same batch is also faulty?
Analyze the relationship and use previous probabilities.
If a test for a rare disease is 92% accurate and the prevalence in the population is 0.5%, what is the probability someone who tests positive actually has the disease?
Set up the prior probabilities accurately to derive the final conditional probability.
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