Conditional probability (AQA GCSE Statistics): Flashcards

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Conditional probability
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What does P(A|B) represent in probability?

Probability of A occurring given B has happened.

How do you find P(B|A) using a Venn diagram?

Use overlap of A and B divided by total A probability.

What is the probability of drawing a black bead second?

Depends on the first bead drawn; calculate accordingly.

What is the multiplication rule in probability?

P(A and B) = P(A) × P(B|A) for dependent events.

How to find P(A|B) from a Venn diagram?

P(A|B) = P(A and B) / P(B) using relevant sections.

What happens to probabilities in sampling without replacement?

Events become dependent; previous outcomes affect next.

Calculate P(B|A) given P(A) = 0.4, P(A and B) = 0.1.

P(B|A) = 0.1 / 0.4 = 0.25 or 1/4.

What is the total probability of A in a Venn diagram?

Sum probabilities of only A and both A and B.

How to simplify fractions in probability answers?

Divide numerator and denominator by their GCD.

Why is 'given' important in probability questions?

'Given' indicates conditional probability is needed.

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