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Experimental vs theoretical probability

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

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Oak National Academy

12 questions

  1. __________ probability can be determined by the number of times an event occurred during multiple trials.
  2. Select the fair spinners.
  3. A toy brick that is dropped could land in one of four possible ways. Jun drops the toy brick multiple times. Starting with the least likely outcome, place the outcomes in order of likelihood.
  4. A toy brick that is dropped could land in one of four possible ways. Sofia and Jun drop the toy brick multiple times. Whose results should be the most reliable? Why?
  5. A dropped cone could land in one of two ways. The bar chart shows the results from an experiment. Which calculation shows how to find the experimental probability of the cone landing curve down?
  6. A dropped cone could land in one of two ways. The bar chart shows the results from an experiment. In an experiment with 800 trials you should expect the cone to land curve down ___ times.
  7. In which of these situations is it possible to work out a theoretical probability?
  8. Alex flips a coin 4 times. The coin lands heads 3 times. Which of these statements are correct?
  9. 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?
  10. The table shows the theoretical probabilities of taking a counter of a particular colour out of a bag of counters. In 1000 trials the number of times you should expect to draw a blue counter is ___.
  11. A box contains 400 counters. A counter is drawn, its colour noted and replaced. The results are in the table. Estimate how many red counters are in the box.
  12. A class investigates whether a 6-sided die is biased. The table shows the results. Estimate the probability of the die landing on a prime number. P(prime) = ___ (as an unrounded decimal).

License: OGL

Experimental vs theoretical probability · Examplary