Find the indicated probability. Round to the nearest thousandth. 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 calculators is defective? A)0.819 B)0.168 C)0.160 D)0.832

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.

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.