SAT Math Practice Question #2492 (Medium) | Test Citadel
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SAT Math Difficulty: Medium

Digital SAT Math Practice Question #2492

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A drawer contains 6 black socks and 4 brown socks. If 2 socks are drawn at random without replacement, what is the probability they are the same color?
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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 pairs $= _{10}C_2 = 45$. Same color pairs: Black pairs $= _6C_2 = 15$; Brown pairs $= _4C_2 = 6$. Total same color $= 15 + 6 = 21$. Probability $= 21 / 45 = 7 / 15$....

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

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