Guessing on a True/False test
A student didn't have a chance to study for an n question True/False test. The student needs at least 70% to pass. The following shows a simulation of what would happen if they took the test again and guessed the answer to each question (as in a coin flip, there are two possible outcomes - their guess is correct or incorrect). Each trial is a simulation of the student guessing on all n questions and the number of problems they got correct ("Value") is computed. Run at least 100 simulations.
What do you think? How likely is the student to pass the test by guessing? Is this unique to a test with 16 problems?
What do you think? How likely is the student to pass the test by guessing? Explain your reasoning.
Is your answer unique to a test with n=16 problems? Experiment with other values of or n.