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 k k\,k days, where k k\,k is a positive integer. Calculate, in terms of kkk, the probability that at least 3 darts hit the target for exactly 1 of these days.
215 exam-style questions on Edexcel A Level Maths Statistical Distributions, covering 6.1 Probability Distributions, 6.2 The Binomial Distribution, and 6.3 Cumulative Probabilities. Each one has a worked solution and a mark scheme showing where the marks go.