As a Test for Extrasensory Perception (ESP), Eight Cards, Four

Multiple Choice

As a test for extrasensory perception (ESP) , eight cards, four black and four white, are shuffled, and then a person looks at each card. In another room, the ESP subject attempts to guess whether the card is black or white. The ESP subject must guess black four times and white four times. If the ESP subject has no extrasensory perception, what is the probability that the subject will correctly name six of the eight cards? Round to the nearest thousandth.

A) 0.014
B) 0.229
C) 0.450
D) 0.667
E) 0.039