Find the indicated probability. Round to the nearest thousandth.
-An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.
A) 0.001
B) 0.100
C) 0.900
D) 0.999

Question

Quizplus · Accepted Answer

The probability of getting at least one correct answer is 1 minus the probability of getting all answers wrong. The probability of guessing one question wrong is 0.5, so for ten questions, it's 0.5^10 = 0.0009765625. Thus, the probability of at least one correct answer is 1 - 0.0009765625 = 0.999.

Find the Indicated Probability