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Probability · Part 1 of 2
9 exam-style questions with model answers, plus 9 quick multi-choice questions — every question on this part of the standard, grouped by the 3 pages of notes they come from.
Write a full answer before you reveal the model one. That comparison is where the learning happens.
Using the table (100 students), find the probability that a randomly chosen student passed.
Using the table, find the probability that a student failed, given that they did not study.
A student claims: 'Studying makes no difference to whether you pass.' Using the table, evaluate this claim.
Out of 80 cyclists, 20 were injured in a year. Find the risk of injury for a cyclist.
The risk of a fault is 0.08 for machine A and 0.02 for machine B. Find the relative risk of a fault for machine A compared with machine B, and interpret it.
A report says: 'People who skip breakfast have a relative risk of 1.5 for being late to work.' A manager concludes that skipping breakfast causes lateness. Evaluate this conclusion.
A fair coin is tossed twice. Find the probability of two heads.
A bag has 5 green and 3 yellow sweets. Two are taken without replacement. Find the probability that both are green.
A bag has 4 red and 6 blue counters. Two are drawn without replacement. Find the probability of getting at least one red.