Question

In a particular car model, there is a 3.15% chance of developing an electrical problem over the next 3 years and a 1.98% chance of developing a transmission problem. There is a 0.74% chance of both problems occurring. What is the probability of either an electrical or transmission problem over the next 3 years? Options: a. 0.74%, b. 4.39%, c. 5.13%, d. 5.87%.

Answer 1

The probability of either an electrical or transmission problem in the car over the next 3 years is calculated by adding the individual probabilities of each problem and subtracting the probability of both occurring. The answer is 4.39%.

Step-by-step explanation:

The probability of either an electrical or transmission problem occurring in the car model over the next 3 years is found by adding the individual probabilities and then subtracting the probability of both events occurring (since it is counted twice). Here is the calculation:

P(Electrical or Transmission problem) = P(Electrical) + P(Transmission) - P(Both)

P(Electrical or Transmission problem) = 3.15% + 1.98% - 0.74% = 4.39%

So, the correct answer is b. 4.39%.