A student randomly guesses the answers to a five-question true/false test.If there is a 50% chance of guessing correctly on each question, what is the probability that the student misses exactly 1 question?
A)0.200
B)0.031
C)0.156
D)0.073
E)0.001

Question

Quizplus · Accepted Answer

The probability of guessing exactly one question wrong out of five is calculated using the binomial probability formula, which in this case is 5 * (0.5)^4 * (0.5)^1 = 0.156. This accounts for the five different ways the student can guess exactly one question wrong (each question being the one they miss) and the probability of guessing each of the other four questions correctly.

A Student Randomly Guesses the Answers to a Five-Question True/false