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Conditional probability in a tree diagram

Quiz by Oak National Academy: GCSE Maths Foundation (2)

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6 questions
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  • Q1
    Two events A and B are independent. This means that...
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    30s
  • Q2
    Sofia has to catch a bus and then a train to get to school. When the bus is late, Sofia is more likely to miss the train and so be late for school. Match each value to its probability.
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  • Q3
    Sofia has to catch a bus and then a train to get to school. When the bus is late, Sofia is more likely to miss the train and so be late for school. P(Sofia is late for school) = ______.
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  • Q4
    Here is a general probability tree. Which of these probabilities give the probability of the highlighted events?
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  • Q5
    One marble is taken at random from a bag of 7 purple and 5 green marbles. The marble is not replaced. A second marble is then taken. The tree diagram shows these two events. Find the value of x.
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    7 \over 11
    7 \over 12
    5 \over 11
    6 \over 11
    5 \over 12
    30s
  • Q6
    One marble is taken at random from a bag of purple and green marbles. The marble is not replaced. A second marble is then taken. The tree diagram shows the two events. Find P(both marbles are green).
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    \frac{5}{33}
    \frac{25}{132}
    \frac{103}{132}
    \frac{25}{144}
    \frac{4}{33}
    30s

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