A Teacher Offers Ten Possible Assignments for Extra Credit in a Course

question 19

Essay

A teacher offers ten possible assignments for extra credit in a course but requires students to choose them, without looking, from a hat. Six assignments involve library research and four are computer programming exercises. Suppose that a student chooses two assignments, one after the other, at random without replacement.
(a) What is the probability that both assignments are computer programming exercises?
(b) What is the probability that at least one of the assignments is a computer programming exercise?

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Definitions:

Salary Allowance

A fixed amount of money paid at regular intervals to an employee, often as a benefit over their standard salary.

Interest Allowance

A deduction or allocation of interest expense, often related to tax calculations or financial assistance programs.

Net Income

Net income refers to the total earnings of a company once all costs, taxes, and expenses have been deducted from the overall revenue.

Retirement

The act of leaving one's job and ceasing to work, typically upon reaching a certain age or for health reasons.