SSS2 Math Quiz 12.4 - Outcome tables and tree diagrams

An outcome table is useful for:

A) Recording actual experimental results

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B) Listing all possible outcomes of an experiment

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C) Measuring probability directly

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D) Reducing the number of trials

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A fair coin is tossed and a die is rolled. The total number of possible outcomes is:

A) \(6\)

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B) \(12\)

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C) \(8\)

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D) \(10\)

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The total number of outcomes in the sample space when two coins are tossed is:

A) \(2\)

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B) \(3\)

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C) \(4\)

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D) \(6\)

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In a tree diagram, the sum of probabilities on the branches from a single point is always:

A) \(\frac{1}{2}\)

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B) \(1\)

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C) \(0\)

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D) Depends on the event

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A bag contains 2 red balls and 3 blue balls. If a ball is drawn at random, the probability of red is:

A) \(\frac{3}{5}\)

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B) \(\frac{2}{5}\)

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C) \(\frac{1}{2}\)

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D) \(\frac{5}{2}\)

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If the first ball is replaced before drawing again, the events are:

A) Dependent

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B) Independent

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C) Mutually exclusive

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D) Impossible

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A tree diagram is most useful for:

A) Representing a single trial

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B) Showing only theoretical probabilities

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C) Visualizing sequences of events and their probabilities

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D) Reducing experimental error

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When rolling two dice, the number of outcomes in the sample space is:

A) \(12\)

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B) \(36\)

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C) \(18\)

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D) \(24\)

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If \(P(A) = 0.4\) and \(P(B) = 0.5\) for independent events, \(P(A \cap B) =\)

A) \(0.2\)

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B) \(0.20\)

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C) \(0.9\)

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D) \(0.10\)

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The purpose of using an outcome table or tree diagram is to:

A) Avoid drawing graphs

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B) List all possible outcomes and find probabilities systematically

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C) Reduce the number of events

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D) Increase the probability of desired outcomes

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SSS2 Math Quiz 12.4 – Outcome tables and tree diagrams

SSS2 Math Quiz 12.4 – Outcome tables and tree diagrams

Noah Wasiu August 20, 2025

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