Using a computer to play many simulated games of Scrabble, researcher Charles Robinove found that the letter A occurred in 54% of the hands. This study had a margin of error of ±10%. (Chance, 15, no. 1 [2002])
a) Explain what the margin of error means in this context.
b) Why might the margin of error be so large?
c) Probability theory predicts that the letter A should appear in 63% of the hands. Does this make you concerned that the simulation might be faulty? Explain.