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Constructing three event Venn diagrams

The starter and exit quiz of the lesson “Constructing three event Venn diagrams”, from the unit “Conditional probability” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. This probability Venn diagram shows the probability of a random spinner (spun once) landing on a square number or a factor of 36. Which of these probability statements are correct?
  2. This probability Venn diagram shows the probability of a random spinner (spun once) landing on a square number or a factor of 36. The value of x is ___. Give your answer as a decimal.
  3. Here is a frequency Venn diagram. P(A ∩ B) = 0.2. The value of x is ___.
  4. P(C given D) = 0.4. Which of these equations is correct to find the value of x?
  5. A pack of cards contains 50 “character” (c) cards and some “spell” (s) cards. A card is taken at random, replaced and a 2nd card is taken. P(two spell cards) = 0.25. There are ___ cards in the deck.
  6. The ratio of cats (c) to dogs (d) in an animal shelter is 4 : 3. Two random animals are taken from the shelter for adoption. Find an expression for P(2 dogs).
  7. A __________ space is all the possible outcomes of a trial.
  8. Izzy asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. ___ pupils take music but not drama.
  9. Izzy asks 30 pupils if they take GCSE Art (A), GCSE Drama (D) or GCSE Music (M). The frequencies are shown in the Venn diagram. ___ pupils do not take drama.
  10. A spinner is numbered with the integers from 80 to 89. The incomplete outcome Venn diagram is used to display 3 events. Select the correct statements.
  11. What region is shown shaded in this Venn diagram?
  12. What region is shown shaded in this Venn diagram?

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Constructing three event Venn diagrams · Examplary