Questions: Probability and statistics: trees, experiments, samples and claims
New numbers every time.
Tree diagrams in depth
- Complete a tree for two independent eventsWork out, 4 marks, Plus
- Two picks with replacement from a drawn treeWork out, 4 marks, Plus
- Complete a tree without replacement, then use itWork out, 5 marks, Plus, Higher tier
- Which calculation gives one of each?Choose, 1 mark, Plus, Higher tier
- At least one, when the second event depends on the firstWork out, 3 marks, Plus, Higher tier
- A tree with two sources, then an expected numberWork out, 4 marks, Plus, Higher tier
- Given the same colour, both one colourWork out, 4 marks, Plus, Higher tier
- Given at least one, bothWork out, 3 marks, Plus, Higher tier
- How many counters, from a probability without replacementWork out, 6 marks, Plus, Higher tier
- Three independent trials: exactly two, at least oneWork out, 5 marks, Plus, Higher tier
Expected outcomes and experiments
- Relative frequency from a table, then a predictionWork out, 3 marks, Plus
- Is the dice biased? Compare with the expected numberDecide, 2 marks, Plus
- The most reliable estimate, and pooling resultsWork out, 3 marks, Plus
- Relative frequency from a graph of an experimentUse, 4 marks, Plus
- Expected profit from a game at a fairWork out, 4 marks, Plus
- Expected number for two events togetherWork out, 3 marks, Plus
- How many sections, from an expected numberWork out, 3 marks, Plus
- What relative frequency can and cannot tell youChoose, 1 mark, Plus
- A missing frequency, then predictionsWork out, 4 marks, Plus
Sampling and populations
- A method that gives a random sampleChoose, 1 mark, Plus
- Why a sample is biasedChoose, 1 mark, Plus
- Estimate a population count from a random sampleWork out, 3 marks, Plus
- A sample mean, then a population totalWork out, 5 marks, Plus
- Two samples: the better one, and both togetherWork out, 3 marks, Plus
- Capture-recapture: estimate a populationWork out, 3 marks, Plus, Higher tier
- What capture-recapture assumes, and when it goes wrongChoose, 1 mark, Plus, Higher tier
- Capture-recapture: how many marked to expect, then a new estimateWork out, 4 marks, Plus, Higher tier
- Describe a population from a small sampleWork out, 5 marks, Plus
- Making an estimate from a sample more reliableChoose, 1 mark, Plus
Critiquing charts and claims
- A bar chart whose axis does not start at 0Work out, 4 marks, Plus
- Comparing two pie charts with different totalsCompare, 4 marks, Plus
- Compare two groups with the median and rangeCompare, 5 marks, Plus
- Which average a claim should useWork out, 4 marks, Plus
- A percentage chart is not a countCompare, 3 marks, Plus
- What makes this chart misleading?Choose, 1 mark, Plus
- What is wrong with the claim?Choose, 1 mark, Plus
- Compare two groups with the median and the interquartile rangeCompare, 3 marks, Plus, Higher tier
- Estimate a mean from grouped data and compareCompare, 5 marks, Plus
Sample spaces and combined events
- A sample space for two spinnersWork out, 3 marks, Plus
- Is a game with two spinners fair?Work out, 4 marks, Plus
- Counting meals, then a probabilityWork out, 2 marks, Plus
- Counting codes, then a probabilityWork out, 4 marks, Plus
- A biased spinner against a fair diceWork out, 4 marks, Plus
- Two cards without replacement: list the outcomesWork out, 3 marks, Plus
- Sample space mistakes to avoidChoose, 1 mark, Plus
- Three picks with replacement: all different, all the sameWork out, 5 marks, Plus, Higher tier
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