Will upvote all responses.
lewis uses the word arbitrarily when he describes how he was assigned his wall street position and also when he describes how a leader was chosen in the cookie experiment.

in this context, arbitrarily means

select one:
a. in a manner based on much consideration.
b. according to rules established by a judge.
c. in a manner determined by chance or whim.
d. as determined by specific qualifications.

Read the passage. macduff. hail, king! for so thou art: behold, where stands th’ usurper’s cursèd head. the time is free. i see thee compassed with thy kingdom’s pearl, that speak my salutation in their minds, whose voices i desire aloud with mine: hail, king of scotland! what is the main idea of this passage from act v of the tragedy of macbeth by william shakespeare? macduff is hailing macbeth as the rightful king of scotland. macduff anticipates that he will be king. macduff anticipates that king duncan will be king. macduff is acknowledging that macbeth is a traitor to the throne.