Most car manufacturers will have a goodwill or special policy in place to extend the original warranty of the vehicle for no cost or cost-reduced repairs. These policies are usually not made public, and are often applied to vehicle defects that surface after manufacturing. One model of vehicle was found to have defective airbags, due to a failure of the sensing system. It was estimated that the odds in favor of purchasing the vehicle with this defect were 51: 635

Question

Most car manufacturers will have a goodwill or special policy in place to extend the original warranty of the vehicle for no cost or cost-reduced repairs. These policies are usually not made public, and are often applied to vehicle defects that surface after manufacturing. One model of vehicle was found to have defective airbags, due to a failure of the sensing system. It was estimated that the odds in favor of purchasing the vehicle with this defect were 51: 635

What is the probability of purchasing this vehicle without the defect? Express using format of your choice

Answer 1

The probability of purchasing the vehicle without the defect can be calculated as follows:

Probability of purchasing the vehicle with the defect = 51 / (51 + 635) = 51 / 686 ≈ 0.0745

Therefore, the probability of purchasing the vehicle without the defect = 1 - 0.0745 = 0.9255

Expressed as a percentage, the probability of purchasing the vehicle without the defect is approximately 92.55%.