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4 cards from this section. Quick, good the night before a test.
Define conditional probability in your own words.
Think of it as narrowing down the possibilities.
What does the formula P(A|B) represent?
Focus on the relationships between the events.
What does P(A|B) represent?
Think about how one event affects the other.
True or False: If P(B) = 0, we can calculate P(A|B).
Consider the implications of dividing by zero.
A medical test has a 95% accuracy for a disease found in 1% of the population. If someone tests positive, what is the probability they actually have the disease?
Break it down step by step using provided formulas.
In a factory, 70% of incidents are due to machinery failure, 10% due to human error, and 20% due to external factors. If an incident occurs, what is the probability it was due to machinery failure?
Consider the weighting of each factor when calculating probability across all incidents.
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