Suppose you gave a multiple-choice exam with 16 questions on it. Each question has 4 alternatives. What is the probability that a student who guesses at random on each of the 16 questions will score 4 or fewer correct answers? Assume that each alternative to each question is equally likely to be chosen.
A) 0.6302
B) 0.7982
C) 0.0383
D) 0.0000

Question

Quizplus · Accepted Answer

The probability of guessing 4 or fewer correct answers out of 16 when each question has 4 options (with a 1/4 chance of getting any single question right) can be calculated using the binomial probability formula. The correct choice, A, represents the cumulative probability of getting 0, 1, 2, 3, or 4 questions right by chance, which is a scenario that aligns with common statistical principles for binomial distributions.

Suppose You Gave a Multiple-Choice Exam with 16 Questions on It