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. Construct a probability tree to indicate the various possible outcomes and their probabilities (as fractions). What is the probability that the two selected marbles will be different colours? The following contingency table gives the results of a sample survey of south African mel and female respondents with regard to their preferred brand of sports gear. Preferred brand of sports gear Maxed Niked Addidas TOTAL No. of females 40 110 50 200 No. of males 65 115 70 250 TOTAL 105 225 120 450 What is the probability of randomly selecting a respondent from the sample who prefers Nike? What is the probability of randomly selecting a respondent from the sample who is not a male? What is the probability of randomly selecting a respondent from the sample who is female and prefers Adidas? What is the probability of randomly selecting a respondent from the sample who is male, given that they prefer maxed? The probability of randomly selecting employee of company Y is male is 0.80. The probability that an employee of the same company works in the Human Resource department, given that the employee is male, is 0.50. What is the probability that a random selected employee of the company will be male and will work in the Human Resource department? There are nine teams participating in a public quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give final answer as a fraction in its simplest form.
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.
Construct a
What is the probability that the two selected marbles will be different colours?
The following
Preferred brand of sports gear
Maxed Niked Addidas TOTAL
No. of females 40 110 50 200
No. of males 65 115 70 250
TOTAL 105 225 120 450
What is the probability of randomly selecting a respondent from the sample who prefers Nike?
What is the probability of randomly selecting a respondent from the sample who is not a male?
What is the probability of randomly selecting a respondent from the sample who is female and prefers Adidas?
What is the probability of randomly selecting a respondent from the sample who is male, given that they prefer maxed?
- The probability of randomly selecting employee of company Y is male is 0.80.
The probability that an employee of the same company works in the Human Resource department, given that the employee is male, is 0.50. What is the probability that a random selected employee of the company will be male and will work in the Human Resource department?
There are nine teams participating in a public quiz. What is the probability of correctly predicting the top four teams at the end of the competition, in the correct order? Give final answer as a fraction in its simplest form.
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