ACT Math Practice Question #2098 (Medium) | Test Citadel
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ACT Math Difficulty: Medium

Digital ACT Math Practice Question #2098

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

In a game, a player rolls a fair six-sided die numbered 1 to 6. If the player rolls a 6, they win $18. If they roll any other number, they lose $3. What is the expected value of a single roll?
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$E = (18)(1/6) - (3)(5/6) = 3 - 2.50 = +0.50$.

Masterclass Solution & Distractor Trap Analysis

Expected value $E(X) = \sum x_i P(x_i) = 18 \times \frac{1}{6} + (-3) \times \frac{5}{6} = 3 - 2.50 = 0.50$. The player expects to win $0.50 per roll....

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

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