If a test person is asked to raise one of his 10 fingers at a given signal, is the choice truly random if he counts in his mind from 1 to 10 and associates with each number one of his fingers? The 1 he associates with the left pink, the 2 with his left ring finger, 3 with his left middle finger, etc. So the test person starts to count, the experimenter gives him a signal, after which the test person raises the finger associated with the number he arrived at while counting. Let's suppose the signal is given at a random moment. Is the choice "in sync" with the random signal given?
In other words, if the experimenter records which finger is raised after each of a 1000 signals are given to a single person, will the experimenter see that each finger is raised the same number of times (more or less, because the number of signals given is finite; the more signals, the better you're getting at the real distribution)? So in the case of 1000 signals given to a test person will the experimenter record that each finger is raised about 100 times?
Or does the test person not make a choice at all?