Find the indicated probability. Round to the nearest thousandth.
-A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 39 that have no defects. What is the probability that at least one of the calculators is
Defective?
A) 0.281
B) 0.719
C) 0.707
D) 0.140

Question

Quizplus · Accepted Answer

The probability that at least one calculator is defective is 1 minus the probability that none are defective. The probability that none are defective is calculated by choosing 4 non-defective calculators from the 39 available, divided by choosing any 4 calculators from the total 53. This gives: 1 - [(39/53) * (38/52) * (37/51) * (36/50)] = 0.719.

Find the Indicated Probability