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3 cards from this section. Quick, good the night before a test.
If P(B) = 0.4 and P(A∩B) = 0.2, what is P(A|B)?
Use the formula for conditional probability.
If P(A) = 0.5 and P(B) = 0.3, and they are independent, what is P(A|B)?
If A and B are independent events, P(A|B) = P(A).
What does P(A|B) represent in probability?
Think about how one event influences another.
If P(A) = 0.6, P(B) = 0.4, and they are independent, what is P(A|B)?
Review the definitions of independent events.
In a country, 40% of adults smoke. Amongst smokers, 1 in 4 develop chronic diseases. What is the conditional probability that a randomly selected adult has a chronic disease given they are a smoker?
Use joint probability alongside the percentage of smokers.
In a deck of 52 cards, if you draw a heart and do not replace it, what is the probability that the next card drawn is face card given the first was a heart?
Calculate using conditional probabilities and consider the reduced deck.
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