Scrabble 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%....

Scrabble 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%. (Source: 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.