The starter and exit quiz of the lesson “Conditional probability in a tree diagram”, from the unit “Conditional probability” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Event A and event B are mutually exclusive events. The P(A and B) is ___.
From the frequency Venn diagram, P(A | B) = ___. Write your answer as a decimal.
From the frequency Venn diagram, P(A | B') = ___. Write your answer as a decimal.
The diagram shows the number of outcomes for two events A and B. The events A and B are __________ events.
Here is an incomplete frequency Venn diagram. P(C) = 1\over3, P(D') = 1\over6, P(C ∩ D) = 1 \over 4 and P(C | D) = 3 \over 10. The value of x is ___.
Here is an incomplete frequency Venn diagram. P(C) = 1\over3, P(D') = 1\over6, P(C ∩ D) = 1 \over 4 and P(C | D) = 3 \over 10. The value of y is ___.
Two events A and B are independent. This means that...
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.
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) = ___.
Here is a general probability tree. Which of these probabilities give the probability of the highlighted events?
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.
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).
