Tree Diagrams (AQA GCSE Maths)

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  • True or False?

    To find the probability of A and B using a probability tree diagram, you add the probabilities on the branches for A and B.

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  • True or False?

    To find the probability of A and B using a probability tree diagram, you add the probabilities on the branches for A and B.

    False.

    To find the probability of A and B using a probability tree diagram, you do not add the probabilities on the branches for A and B.

    To find the probability of A and B, you multiply along the branches.

  • True or False?

    The probabilities on all of the branches in a probability tree diagram should add up to 1.

    False.

    The probabilities on all of the branches in a probability tree diagram should not add up to 1.

    The probabilities on any set of branches (usually a pair) should add up to 1.

  • True or False?

    The sum of the probabilities of all of the final outcomes on a probability tree diagram should be equal to 1.

    True.

    The sum of the probabilities of all of the final outcomes on a probability tree diagram should be equal to 1.

  • A tree diagram is used to represent two events, A and B, where each event has three possible outcomes, 1, 2 and 3.

    How many possible final outcomes are there?

    For a tree diagram used to represent two events, where each events has three possible outcomes, there are nine possible final outcomes (32 = 9).

    Tree diagram displaying events A and B. Each event has three outcomes, 1, 2 and 3. These lead to 9 final outcomes: 11, 12, 13, 21, 22, 23, 31, 32 and 33.
  • A tree diagram is used to represent three tennis matches, where each event has two possible outcomes: player A winning or player B winning.

    How many possible final outcomes are there?

    A tree diagram is used to represent three tennis matches, where each event has two possible outcomes: player A winning or player B winning.

    There are eight possible final outcomes (23 = 8).

    The eight outcomes are AAA, AAB, ABA, ABB, BAA, BAB, BBA, BBB.

    Tree diagram displaying events 1, 2 and 3. Each event has two outcomes, A and B. These lead to 8 final outcomes: AAA, AAB, ABA, ABB, BAA, BAB, BBA and BBB.