There are 7 multiple choice questions on an exam, each with 4 possible answers. If you are guessing, so that you are likely to choose 1 sequence of answers as another, what is the probability of getting all 7 answers correct?

(1/4)^7 = 1/16384

To calculate the probability of getting all 7 answers correct, we need to determine the number of possible sequences of answers and then calculate the probability of choosing the correct sequence.

With each question having 4 possible answers, the total number of possible sequences is 4^7 (4 raised to the power of 7) since there are 7 questions. This results in 16384 possible sequences.

To calculate the probability of choosing the correct sequence, we divide the number of favorable outcomes (1 sequence with all correct answers) by the total number of possible outcomes.

So, the probability of getting all 7 answers correct when guessing is:
1/16384 ≈ 0.000061%