BMAT SECTION 2 MATHS PRACTICE QUESTIONS AND ANSWERS

Alice has a spinner. When the spinner is spun, the probability that it lands on a square number is 3/7 When the spinner is spun, the probability that it lands on a prime number is 1/3 What is the probability that the spinner lands on a prime number or a square number OR = ADD THEM TOGETHER 16/21 The probability of an event AA is 0.32 The probability of an event BB is 0.19 The probability of neither event occurring is 0.54 Are the events AA and BB mutually exclusive? When two events, A and B, are not mutually exclusive, there is overlap between the two events - they can occur at the same time. Therefore the probability of A and B has to be 0. P(neither event occurring) = 1 −P(A or B occurring) P(A or B occurring) = 1 − 0.54 = 0.46 P(A or B)=P(A)+P(B)−P(A and B) 0.46 = 0.32 + 0.19 −P(A and B) P(A and B) = 0.32 + 0.19 − 0.46 = 0.05 The events A and B are not mutually exclusive as P((A and B) ≠ 0 A school has a football team and a cricket team. The outcomes of the football and cricket matches are win, draw and lose. The probability that the football team will win its next match is 0.6 The probability that the football team will draw its next match is 0.15 The probability that the cricket team will win its next match is 0.4 The probability that the cricket team will draw its next match is 0.05 Find the probability that at least one team wins its next match. tree digram first colum is football next colum cricket P(at least one team wins its next match) = 0.6 × 0.4 + 0.6 × 0.05 + 0.6 × 0.55 + 0.15 × 0.4 + 0.25 × 0.4 = 0.76 (There is no need to calculate 0.6 × 0.4 + 0.6 × 0.05 + 0.6 × 0.55 as this equals 0.6. If the football team wins, that satisfies the condition.)