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Answer :
Final answer:
The probability that none of the selected machines are defective is approximately 28.24%.
Explanation:
To find the probability that none of the selected machines are defective, we need to calculate the probability of each machine being non-defective and multiply them together. Since 10% of the batch is defective, the probability that a machine is non-defective is 1 minus the probability that it is defective, which is 1 - 0.10 = 0.90.
The probability that all 12 machines are non-defective is therefore 0.90 multiplied by itself 12 times, which is approximately 0.2824, or 28.24%.
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