At the College of Warm & Fuzzy, Good Grades in Math

question 17

Essay

At the College of Warm & Fuzzy, good grades in math are very easy to come by. The grade distribution is given in the table below: Suppose three students are to be selected at random. As each is selected their math grades are written down and they are replaced back into the population of students. Three possible outcomes of this experiment are listed below. Calculate the probabilities of these sequences appearing.
a)BAC
b)CFF
c)ABA

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Definitions:

Tribute

Payments made by one nation or ruler to another, often as a sign of submission or for protection, or as part of a trade agreement.

War of 1812

A military conflict fought between the United States and the United Kingdom, along with their respective allies, from 1812 to 1815, primarily over trade restrictions and territorial expansion.

Heroes

Individuals admired for their courage, outstanding achievements, or noble qualities, often considered role models or inspirational figures.

Hamilton

A Broadway musical written by Lin-Manuel Miranda, focusing on the life of American Founding Father Alexander Hamilton, blending hip-hop, jazz, R&B, and Broadway styles.