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Family Physician
Family Physician, Internet Researcher
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what is the probability of answering the first two ...

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what is the probability of answering the first two questions on a multiple choice test if random guesses are made and each question has 6 possible answers
As I understand your question: You have 2 multple choice questions with 6 possible answers each.

Since these are two independent events (unlike a matching test, where each answer further restricts the answers of following questions) you have a 1 in 6 chance of getting each question correct.

To calculate the chance that BOTH would be correct you mulitple the probability.

1/6 * 1/6 = 1/36 or 0.02778 or 2.778% chance
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