A quiz consists of 90 multiple-choice questions, each with 4 possible answers (A, B, C and D). For someone who makes random guesses for all of the answers, find the probability of getting A as right answer.

For one question, P(A) = 1/4

Is A the correct answer for all the questions?

A is the correct answer for all the questions

To find the probability of getting A as the right answer for someone making random guesses, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In this case, there are 4 possible answers for each of the 90 questions, so the total number of possible outcomes is 4^90. This is because for each question, there are 4 choices (A, B, C, or D), and this process repeats 90 times for each question.

Next, we need to determine the number of favorable outcomes, which in this case is the number of times A is the correct answer. Since each question has 4 possible answers and A is one of them, the probability of getting any specific answer (including A) correct is 1/4. Therefore, the number of favorable outcomes is given by 90*(1/4) since there are 90 questions.

Now we can calculate the probability of getting A as the right answer by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability of getting A as the right answer = Number of favorable outcomes / Total number of possible outcomes

Probability of getting A as the right answer = (90*(1/4)) / 4^90

Calculating this probability would involve a very large number with vast amounts of calculations, so it is not feasible to provide an exact numerical value. However, it can be approximated to a very, very small value since there are a large number of questions and the probability of getting each question right by random guessing is low.