A test consists of 10 true/false questions. To pass the test a student must answer at least 6 questions correctly. If a student guesses on each question, what is the probability that the student will pass the test? Round to three decimal places.
A) 0.828
B) 0.172
C) 0.377
D) 0.205

Question

Quizplus · Accepted Answer

The probability of passing by guessing is the sum of probabilities of getting 6, 7, 8, 9, or 10 correct answers. This is calculated using the binomial probability formula: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where n=10, p=0.5. The sum of these probabilities is approximately 0.377.

A Test Consists of 10 True/false Questions