The probability a tennis player gets her first serve in court is 65%. If she gets her first serve in court the probability of winning the point is 81%. The chance of getting her second serve in court is 84% and if she gets her second serve in court the chance of winning the point is 59%. If the tennis player fails to get her second serve in court she loses the point.
Draw a tree diagram to show this information.
Find the probability of the tennis player winning the point.
200 exam-style questions on OCR A Level Maths 2.3 Probability, covering 2.3.1 Mutually exclusive and independent events, 2.3.2 Diagrams to assist probability calculations, 2.3.3 Conditional probability (A-level only), 2.3.4 Conditional probability from first principles (A-level only), and 2.3.5 Modelling with probability. Each one has a worked solution and a mark scheme showing where the marks go.