A Market Researcher Selects 20 Students at Random to Participate

Essay

A market researcher selects 20 students at random to participate in a wine-tasting test. Each student is blindfolded and asked to take a drink out of each of two glasses, one containing an expensive wine and the other containing a cheap wine. The students are then asked to identify the more expensive wine. If the students have no ability whatsoever to discern the more expensive wine, what is the probability that the more expensive wine will be correctly identified by:
a. more than half of the students?
b. none of the students?
c. all of the students?
d. eight of the students?