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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)

QUESTION 4:   In a certain country, the weather each d…

QUESTION 4:   In a certain country, the weather each day is classified as fine or rainy. The probability that a fine day is followed by a fine day is 0.75 and the probability that a rainy day is followed by a  fine day is 0.4. The probability that it is fine on 1 April is 0.8. The tree diagram below shows the possibilities for the weather on 1 April and 2 April.       RIGHT click on the blue button to view the tree diagram           4.1 Complete the tree diagram by writing in all the probabilities. (2) 4.2 Find the probability that 2 April is fine. (2) 4.3 Let X be the event that 1 April is fine, and Y be the event that 3 April is rainy.     Find the value of

INSTRUCTIONS 1. The answers you provide must be your o…

INSTRUCTIONS 1. The answers you provide must be your own, original work. No copying from any source is allowed. 2. Calculators may be used, unless stated otherwise. 3. WRITE answers FOR ALL QUESTIONS on FOLIO line paper. 4. No typed answers are allowed. 5. Multiple pages of handwritten answers must be scanned and saved as 1 PDF FILE. No images are allowed or will be accepted. (Use Cam-scanner or any app that has this function). 6. Write your answers to each question below one another and NOT NEXT to each other. Draw a line at the end of each question. 7. Your pages scanned in the PDF File should be UPRIGHT and not sideways or upside down. 8. Scan all your answers to this exam into one .pdf file. Name your file as indicated: CAM P5_InitialSurname.pdf 9. FINAL answers must be rounded off to 2 decimal places unless stated otherwise in any specific question. 10. Write NEATLY and Legible and number according to the numbering system in this test.