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Sample Spaces and Equally Likely Outcomes
Grade Level
GRE
GRE.102 Sample Spaces and Equally Likely Outcomes
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An ordered pair of positive integers (a, b) satisfying a + b = 8 is selected uniformly from all such ordered pairs, and a is recorded. Which choice correctly identifies the sample space and states whether its outcomes are equally likely?
A
The sample space is {1, 2, 3, 4, 5, 6, 7}; the outcomes are equally likely.
B
The sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8}; the outcomes are equally likely.
C
The sample space is {1, 2, 3, 4}; the outcomes are equally likely.
D
The sample space is {1, 2, 3, 4, 5, 6, 7}; the outcomes are not equally likely.
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