2 (Probability)_Students_2023 (SAJC)

1 ST ANDREW’S JUNIOR COLLEGE JC1 H1 MATHEMATICS (8865) Term 3 Weekend Assignment 2 Topic: Probability Name: ______________________________ Marks:________/10 C.G.: __________ 1 JPJC Promo 8865/2021/Q5 (a) Events A and B are such that ( )P 0.6A = , ( )P 0.4B = and ( )P ' | 0.8BA = . (i) Describe in words what is meant by ( )P ' |BA . [1] (ii) Find ( )P' AB . [1] (iii) Find ( )P AB . [1] (iv) Find ( )P' AB . [2] (b) A box contains 7 red balls and 3 green balls. Two balls are drawn, one after the other, without replacement. (i) Draw a tree diagram to represent the possible outcomes. [2] (ii) Find the probability that one red ball and one green ball are drawn. [2] (iii) Find the probability that the first ball drawn is red given that one red ball and one green ball are drawn. [3]