In Many Popular Board Games, a Player Rolls Two Dice

question 2

Multiple Choice

In many popular board games, a player rolls two dice and moves the number of spaces equal to the sum shown on the dice. Here is the assignment of probabilities to the sum of the numbers on the up faces when two fair dice are rolled: Suppose Scott rolls a sum of 9 on his first roll. What is the probability that Jennifer will have the same sum on her first roll?

• A) 0
• B) 4/6
• C) 4/36
• D) 9/36
• E) 30/36

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Definitions:

Truth-functional Compound

A complex proposition in logic that is made up of simpler propositions and whose truth-value depends solely on the truth-values of these simpler propositions.

Quantifier

In logic, symbols that specify how many objects in the universe of discourse satisfy a given condition.

Atomic Open Sentence

An expression containing a variable that becomes either true or false when a value is substituted for the variable.

Compound

A substance formed from two or more elements chemically united in fixed proportions, or a complex entity composed of several parts.