QUESTION 2:   A bag contains 5 red balls and 3 blue ba…

QUESTION 2:   A bag contains 5 red balls and 3 blue balls. Chris takes three balls at random from the bag, without replacement.   2.1 Sketch a tree diagram representing the events of taking the balls out of the bag. (Include all probabilities) (3) 2.2 Show that the probability of drawing exactly one red ball is . (4)      

QUESTION 3:   Mr. and Mrs. Ahmed with their two childr…

QUESTION 3:   Mr. and Mrs. Ahmed with their two children, and Mr. and Mrs. Baker with their three children, are visiting an activity centre together. They will divide into groups for some of their activities.   3.1 In how many ways can the 9 people be divided into a group of 6 and a group of 3? (3) 3.2 5 of the 9 people are selected at random for a particular activity. Find the probability that this group of five contains all three of the Baker children. (3) 3.3 All nine people stand in a line.     Find the number of arrangements in which Mr. Ahmed is not standing next to Mr. Baker.    (3) 3.4 Find the number of different arrangements in which there is exactly one person between Mr. Ahmed and Mr. Baker.    (3)

QUESTION 5:   A committee of 6 people is to be chosen…

QUESTION 5:   A committee of 6 people is to be chosen from 9 woman and 5 men:   5.1 Find the number of ways in which the 6 people can be chosen if there must be more woman than men on the committee.      (3) 5.2 The 9 woman and 5 men include a sister and a brother:     Find the number of ways in which the committee can be chosen if the sister and brother cannot both be on the committee.  (3)