A multiple choice test contains four answer choices (A, B, C, and D) for each question. You guess randomly on two questions on the test. What is the probability that you answer both questions correctly?
This has all of the earmarks of a homework dump.
true. But, Pratham, if you care to post your work, we can check it for accuracy.
To find the probability of answering both questions correctly by randomly guessing, we need to find the probability of guessing the correct answer for each question and multiply them together.
Since there are four answer choices (A, B, C, and D) for each question, the probability of guessing the correct answer for each question is 1 out of 4 or 1/4.
Therefore, the probability of guessing both questions correctly is:
Probability of guessing the first question correctly * Probability of guessing the second question correctly
= (1/4) * (1/4)
= 1/16
So, the probability of answering both questions correctly by guessing randomly is 1/16 or 0.0625.