Tree Diagrams (AQA A-Level Mathematics): Quizzes

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Tree Diagrams
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What are tree diagrams used for in probability?

Show all possible outcomes of events

What is written along each branch of a tree diagram?

The probability of that outcome

What do nodes in a tree diagram represent?

Different stages or decisions

What do the leaves of a tree diagram represent?

Final outcomes of the sequence

How do you calculate the probability of a specific sequence of outcomes?

Multiply probabilities along branches

When tossing a coin twice, what is P(HH)P(HH) if P(H)=12P(H) = \frac{1}{2}?

14\frac{1}{4}

With 2 red and 1 blue ball, what is P(two red)P(\text{two red}) without replacement?

13\frac{1}{3}

In conditional probability, how is the final probability determined?

Divide desired by total remaining

With 5 red, 4 blue tokens, what is P(2nd red | 1st blue)P(\text{2nd red | 1st blue})?

58\frac{5}{8}

With 5 red, 4 blue tokens, what is P(1st blue | different colours)P(\text{1st blue | different colours})?

12\frac{1}{2}

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