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Problem: In the game of Scrabble, each player begins by drawing seven tiles from a bag containing 100 tiles. There are 42 vowels, 56 consonants, and two blank tiles. Scarlett chooses her seven tiles and is surprised to discover that all of them are vowels. Conduct a simulation to determine whether this result is likely to happen by chance.
Required:
Question 1: State the question of interest using the language of probability.
Question 2: How would you use random digits to imitate one repetition of the process? What variable would you measure?
Question 3: Use digits from a table of random digits or use a calculator to perform one repetition. Submit the list of random digits and indicate those that represent vowels.
Question 4: In 500 repetitions of the simulation, there was one time when all seven tiles were vowels. What conclusion can you draw from this result?
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