SAT Math Practice Question #2483 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2483

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A medical clinic tests 200 patients for an allergy. Of 80 who tested positive, 60 actually had the allergy. Of 120 who tested negative, 10 actually had the allergy. What is the probability that a randomly chosen patient with the allergy tested positive?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Desmos / Statistical Reason: Filter conditional probability denominators carefully — 'out of what total' is always the key.

Masterclass Solution & Distractor Trap Analysis

Total with the allergy $= 60 + 10 = 70$. The number of allergic patients who tested positive is 60. Conditional probability $P(\text{tested positive} | \text{has allergy}) = 60 / 70$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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