The starter and exit quiz of the lesson “Conditional probability in a Venn diagram”, from the unit “Conditional probability” (Year 11 Maths) by Oak National Academy.
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Oak National Academy
12 questions
Event A is ___ of event B if the probability of event A occurring is not affected by whether or not event B occurs.
Select the example of events which are not independent.
The table shows the types of marble in a bag. Match each event to its probability.
A marble is taken at random from a box of marbles. Alex works out that P(swirl given it is blue) = P(swirl). This shows the event 'has a swirl' is __________ of the event 'blue marble'.
A 10-sided die with integers from 1 to 10 written on it is rolled once. Select the pair of mutually exclusive events.
A deck of cards has a number on it (either prime or non-prime), and a symbol (a circle, square, or wave). A card is selected at random from the deck. Find P(non-prime | wave).
Event A and event B are mutually exclusive events. Which of these statements are correct?
From the frequency Venn diagram, P(A | B) =___. Give your answer as a decimal.
From the frequency Venn diagram, P(A | B') = ___. Give your answer as a decimal.
The diagram shows the number of outcomes for two events A and B. The values of P(A | B) and P(A | B') show that 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 ___.
