Logic Breakdown

Passage Summary: A supervisor believes their next budget will pass simply because they have lost five times in a row and the overall success rate is fifty percent.

Conclusion: The upcoming budget proposal is likely to be accepted.

Reasoning: The vice president typically approves half of all proposals, and since the last five attempts were rejected, a success is due to balance the average.

Analysis: This argument is a textbook example of the Gambler's Fallacy. The supervisor treats independent events—individual budget reviews—as if they are mathematically linked to 'even out' over a short period. In reality, the vice president's past rejections don't magically increase the odds of a future approval. Look for an answer that identifies this unwarranted assumption that a streak of bad luck must be followed by good luck to maintain a statistical average.

Passage Stimulus

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24.

The supervisor's reasoning is flawed because it presumes, without giving warrant, that

Correct Answer
C
C pinpoints the key assumption: that the last five rejections affect the chance that the next will be turned down. Negating it (“the last five being turned down does not affect the likelihood of the next being turned down”) collapses the argument’s basis for saying the next one is probably approved.
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