Question 1
A company plans to interview 10 recent graduates for possible employment. The company has three positions open. How many groups of three can the company select?
Question 2
A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than $30,000 a year.
| a. | If an employee is taken at random, what is the probability that the employee is male? |
| b. | If an employee is taken at random, what is the probability that the employee earns more than $30,000 a year? |
| c. | If an employee is taken at random, what is the probability that the employee is male and earns more than $30,000 a year? |
| d. | If an employee is taken at random, what is the probability that the employee is male or earns more than $30,000 a year? |
| e. | The employee taken at random turns out to be male. Compute the probability that he earns more than $30,000 a year. |
| f. | Are being male and earning more than $30,000 a year independent? |
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