Guessing Logic!
John attempts six logic problems on Brilliant everyday. He only attempts multiple choice problems with 4 choices. John never bothers to read the question, so he just guesses by choosing one of the choices given. He has an equal chance of getting the question right by choosing any of the four options. What's the probability that he gets all the questions right?
The answer is 0.000244140625.
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1 solution
The probability of John getting the right answer in each question is 1/4. So, to get the probability of him getting all 6 question right, we need to multiply 1/4 by 6 times, which is (1/4)^6.