Question

A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer.a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent?(3 correct and 1 incorrect)

Answer 1

There are 4C3 ways of getting 3 out of 4 correct. This = 4.

The probability of getting 3 correct and 1 wrong in one of these ways is
1/4 * 1/4 * 1/4 * 3/4 = 3/256

So required probability = 4 * 3/256 = 12/256 = 4.69 %
5% to nearest percent.

Answer 2

Answer: (quartered spinner) (4) (1/256)