A student answers multiple-choice questions by guessing

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

A student answers

10

multiple-choice questions by guessing. Each question has

4

options with exactly one correct answer. What is the probability that the student answers at least one question correctly? (a)

1-\left(\dfrac{1}{4}\right)^{10}

(b)

10\left(\dfrac{1}{4}\right)\left(\dfrac{3}{4}\right)^{9}

(c)

1-\left(\dfrac{3}{4}\right)^{10}

(d)

\left(\dfrac{3}{4}\right)^{10}