Prime DSE Series - Mathematics Mock Exam Papers (Extended Part) Module 1 Set 3

HKDSE-MATH-EP(M1)(Set 3) − 5 5 © United Prime Educational Publishing (HK) Ltd. Please stick the barcode label here Answers written in the margins will not be marked. Answers written in the margins will not be marked. Answers written in the margins will not be marked. Go on to the next page 4. Let A and B be two events. Denote the complementary events of A and B by A ′ and B ′ respectively. It is given that P( ) 7P( ) A' B' A B' = and P( ) P( ) 0.4 A B A B' ∩ − ∩ = . Let P( B ) = b , where 0 < b < 1. (a) Express P( A ) in terms of b . (b) Are A and B independent? Explain your answer. (c) Let C be an event such that 23 5 P( ) 40 b C + = . Are A and C mutually exclusive? Explain your answer. (7 marks) Sample © United Prime Educational Publishing (HK) Limited All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publisher.