On a 10 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?Give your answer as a fraction
Question
On a 10 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?Give your answer as a fraction
Solution
The probability of getting a question right is 1/2 (since there are 2 options, one of which is correct).
For a 10-question test, the probability of getting all questions right is (1/2)^10 = 1/1024.
The probability of getting at least one question wrong is the complement of getting all questions right.
So, the probability of getting at least one question wrong is 1 - (probability of getting all questions right) = 1 - 1/1024 = 1023/1024.
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