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Q.2.1 A bag contains 12 red and 11 green marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be different colours? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports gear: PREFERRED BRAND OF SPORTS GEAR Maxed Nike Adidas TOTAL No. of Females 40 110 50 200 No. of Males 65 115 70 250 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Nike? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not male? Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Adidas? Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Maxed? The Independent Institute of Education (Pty) Ltd 2024 Page 23; 24 Q.2.3 The probability that a randomly selected employee of Company Y is male is 0.80. The probability that an employee of the same company works in the Human Resources department, given that the employee is male, is 0.50. What is the probability that a randomly selected employee of the company will be male and will work in the Human Resources department? Q.2.4 There are nine teams participating in a pub quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.

Q.2.1 A bag contains 12 red and 11 green marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be different colours? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports gear: PREFERRED BRAND OF SPORTS GEAR Maxed Nike Adidas TOTAL No. of Females 40 110 50 200 No. of Males 65 115 70 250 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Nike? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not male? Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Adidas? Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Maxed? The Independent Institute of Education (Pty) Ltd 2024 Page 23; 24 Q.2.3 The probability that a randomly selected employee of Company Y is male is 0.80. The probability that an employee of the same company works in the Human Resources department, given that the employee is male, is 0.50. What is the probability that a randomly selected employee of the company will be male and will work in the Human Resources department? Q.2.4 There are nine teams participating in a pub quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter16: Thermodynamics: Directionality Of Chemical Reactions
Section: Chapter Questions
Problem 16QRT
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Q.2.1 A bag contains 12 red and 11 green marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be different colours? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports gear: PREFERRED BRAND OF SPORTS GEAR Maxed Nike Adidas TOTAL No. of Females 40 110 50 200 No. of Males 65 115 70 250 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Nike? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not male? Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Adidas? Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Maxed? The Independent Institute of Education (Pty) Ltd 2024 Page 23; 24 Q.2.3 The probability that a randomly selected employee of Company Y is male is 0.80. The probability that an employee of the same company works in the Human Resources department, given that the employee is male, is 0.50. What is the probability that a randomly selected employee of the company will be male and will work in the Human Resources department? Q.2.4 There are nine teams participating in a pub quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.
Transcribed Image Text:Q.2.1 A bag contains 12 red and 11 green marbles. You are asked to select two marbles from the bag. The first marble selected will not be placed back into the bag. Q.2.1.1 Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). Q.2.1.2 What is the probability that the two selected marbles will be different colours? Q.2.2 The following contingency table gives the results of a sample survey of South African male and female respondents with regard to their preferred brand of sports gear: PREFERRED BRAND OF SPORTS GEAR Maxed Nike Adidas TOTAL No. of Females 40 110 50 200 No. of Males 65 115 70 250 TOTAL 105 225 120 450 Q.2.2.1 What is the probability of randomly selecting a respondent from the sample who prefers Nike? Q.2.2.2 What is the probability of randomly selecting a respondent from the sample who is not male? Q.2.2.3 What is the probability of randomly selecting a respondent who is female and prefers Adidas? Q.2.2.4 What is the probability of selecting a respondent who is male, given that they prefer Maxed? The Independent Institute of Education (Pty) Ltd 2024 Page 23; 24 Q.2.3 The probability that a randomly selected employee of Company Y is male is 0.80. The probability that an employee of the same company works in the Human Resources department, given that the employee is male, is 0.50. What is the probability that a randomly selected employee of the company will be male and will work in the Human Resources department? Q.2.4 There are nine teams participating in a pub quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give your final answer as a fraction in its simplest form.
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