ACT Math Practice Question #1410 (Medium (32)) | Test Citadel
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ACT Math Difficulty: Medium (32)

Digital ACT Math Practice Question #1410

Test your problem-solving accuracy on this official-caliber item. Select an answer choice to check your reasoning instantly.

A carnival game charges $5 to play. A player draws one marble from a bag containing 3 gold marbles, 7 silver marbles, and 10 black marbles. Drawing a gold marble pays $20, drawing a silver marble pays $5, and drawing a black marble pays $0. What is the expected net profit (or loss) for a player who plays this game once?
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Socratic AI Engine Step-by-Step Derivation
0ms Precomputed
⚡ 15-Second Desmos Speed Hack

Expected payout = $4.75. Net = 4.75 - 5.00 = -$0.25.

Masterclass Solution & Distractor Trap Analysis

Expected payout = 3/20(20) + 7/20(5) + 0 = 3 + 1.75 = $4.75. Net = 4.75 - 5.00 = -$0.25....

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

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