Find the probability:
-A sample of 4 different calculators is randomly selected from a group containing 14 that are defective and 26 that have no defects. What is the probability that at least one of the calculators is defective?
A) 0.140
B) 0.164
C) 0.836
D) 0.821

Question

Quizplus · Accepted Answer

The probability of selecting at least one defective calculator can be found by subtracting the probability of selecting no defective calculators from 1. The probability of selecting no defective calculators from the total of 40 (14 defective + 26 non-defective) is the combination of choosing 4 non-defective calculators out of 26, divided by the combination of choosing 4 calculators out of 40. This is calculated as (26 choose 4) / (40 choose 4). The probability of at least one defective calculator is 1 minus this value, which results in 0.836.

Find the Probability: -A Sample of 4 Different Calculators Is Randomly Selected from Randomly