SOLUTION: A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the

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Question 62829: A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the 4 calculators in the sample is defective?
Answer by 303795(602) About Me  (Show Source):
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The probability of one calculator having no defects is 30/46. When a second is chosen the probability of having no defects is 29/45. The probability of no defects in the third is 28/44 and in the fourth is 27/43.
The probability of no defects in any of the calculators is found by multiplying the individual probabilities together.
%2830%2F46%29%2A%2829%2F45%29%2A%2828%2F44%29%2A%2827%2F43%29=0.168
The probability of all calculators having no defects is 16.8%. The probability of at least one defect is the complement of that probability.
ie an 83.2% probability of at least one defect.