Tree Diagrams (Edexcel A-Level Mathematics): Quizzes

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Tree Diagrams
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What do tree diagrams show in probability?

All possible outcomes of a series of events

In a tree diagram, what do branches represent?

Possible outcomes of an event

What are nodes in a tree diagram?

Points where branches split

What do leaves represent in a tree diagram?

Final outcomes of the sequence

How do you calculate the probability of a specific sequence in a tree diagram?

Multiply probabilities along branches

What is P(HH)P(HH) when tossing a coin twice, where P(H)=12P(H) = \frac{1}{2}?

14\frac{1}{4}

When are tree diagrams particularly useful?

Multiple stages or events

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

13\frac{1}{3}

For conditional probability, how is the final probability found?

Divide desired by total remaining

With 5 red and 4 blue tokens, if first is blue, what is P(second red)P(\text{second red})?

58\frac{5}{8}

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