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Oak MathsTest · Maths

Set notation

The starter and exit quiz of the lesson “Set notation”, from the unit “Conditional probability” (Year 11 Maths) by Oak National Academy.

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Oak National Academy

12 questions

  1. In which of these situations is it not possible to work out a theoretical probability?
  2. Izzy rolls a die 4 times. The dice lands on a '6' three times. Which of these statements are correct?
  3. A spinner contains three letters: A, B and C. The tables show results from four experiments with the spinner. Which experiment will produce the most reliable set of experimental probabilities?
  4. The table shows the theoretical probabilities of taking a counter of a specific colour out of a bag of counters. In 1000 trials, the number of times you should expect to draw a green counter is ___.
  5. A box contains 100 counters. A counter is drawn, its colour noted and replaced. The results are in the table. Estimate how many green counters are in the box.
  6. A class investigates whether a 6-sided die is biased. The table shows the results. Estimate the probability of the die landing on a factor of 6. P(factor of 6) = ___ (as an unrounded decimal).
  7. Which symbol is used to represent the universal set?
  8. What does this symbol represent: ∩ ?
  9. What region is shown shaded in this Venn diagram?
  10. ξ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}, A = {multiples of 4}, B = {factors of 12}. Find P(A' ∩ B).
  11. Which combination of events is highlighted in the tree diagram?
  12. Lucas and Izzy each play one game of chess that they can either win or lose. P(Lucas wins ∪ Izzy wins) = ___ (give your answer as a decimal).

License: OGL

Set notation · Examplary