The formula for conditional probability (Edexcel GCSE Statistics): Flashcards

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The formula for conditional probability
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What is the formula for conditional probability?

P(B|A) = P(A and B) / P(A)

How do you interpret P(B|A)?

Probability of B given that A has happened.

What indicates independence in events?

P(A|B) = P(A) and P(B|A) = P(B)

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

Number of outcomes in A and B / Number in A.

Why is it important to check if events are independent?

It simplifies calculations, P(B|A) = P(B).

What's a key point about P(B|A)?

It’s the probability of B assuming A has already happened.

How can you use the formula to find P(A and B)?

Multiply P(B|A) by P(A).

Tiles: 7 white, 4 white X. Find P(X|white)

4/7

P(B|A)=0.6 and P(A)=0.2. Find P(A and B)

0.12

If P(A)=3/10 and P(B|A)=1/2, find P(A and B)

P(A and B)=3/20

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