Math (Stats) Question

Question

Suppose that Nacho takes a multiple choice test. The test has 4 questions. Each question has 4 choices.

 

What is the probability that Nacho will get all 4 questions wrong?

Answer 1

(3/4)^4 = 81/256= about 31.6% chance of all wrong

.75% chance any one question is wrong

all four wrong has probability .75^4 = .31640625= about .316 = 31.6%

68.4% chance of getting at least one right

(1/4)^4 =1/256 = .00390625= about 0.39% chance all 4 right