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A sample of 4 different calculators is randomly selected from a group containing 40 that are defective and 30 that have no defects. What is

  1. A sample of 4 different calculators is randomly selected from a group containing 40 that are defective and 30 that have no defects. What is the probability that all 4 of the calculators selected are defective?
  2. Find the probability of correctly answering the first 2 questions on a multiple choice test if random guesses are made and each question has 3 possible answers.
  3. What is the probability that five randomly selected people all have different birthdays? Use a non-leap year. State your answer as a decimal to four decimal places.

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