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).
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.
