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

question 40

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:

Indifference Curve

A graphical representation showing combinations of goods or services among which a consumer is indifferent, depicting preferences for consumption bundles.

Apples

Edible fruits produced by an apple tree, known scientifically as Malus domestica, and popular worldwide for their sweet taste and nutritional benefits.

Bananas

A popular fruit that is long and curved with a soft flesh covered by a yellow peel when ripe.

Utility Function

A mathematical representation that quantifies an individual's preference for various outcomes or goods, indicating their level of satisfaction.