Richard throws a dart at a target. He assumes that each throw is independent and that the probability he hits the target is 15\displaystyle \frac{1}{5}51. Richard throws 8 darts.
Calculate the probability of at least 3 of these darts hitting the target.
Richard throws 8 darts at the target each day for 3 days. Calculate the probability that at least 3 darts hit the target for exactly 1 of these days.
390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.