A Pair of Fair Dice Is Tossed

question 240

Multiple Choice

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 3} B: {At least one of the dice shows a 2} Identify the sample points in the event A ∪ B.

• A) {(1, 2), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (4, 2), (5, 2), (6, 2)}
• B) {(1, 2), (2, 1)}
• C) {(1, 2), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)}
• D) {(2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (4, 2), (5, 2), (6, 2)}

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Definitions:

Degrees Fahrenheit

A scale of temperature on which water freezes at 32° and boils at 212° under standard conditions.

Domain

The collection of all potential x-values for which a given function exists.

Range

The difference between the highest and lowest values in a set of data, or the set of all possible values of a function.

\(f ( x )\)

Represents a function of x, a way to show the relationship between x (input) and f(x) (output) in mathematical terms.