10
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Probability of Compound Events

Question 10 • Math Models A

What is the theoretical probability that you would guess the correct answer to every question?

Answer
A
1/5
B
3/16
C
3/256
D
1/256

Explanation

There are 4 questions, and each has 5 answer choices, so the chance of guessing one question correctly is 1/5. To get every question right, multiply the probabilities: (1/5)^4 = 1/625. None of the choices equals 1/625, so the listed choices do not contain the correct probability.

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