The probability that a randomly selected car will be in an accident in the next year in a particular country is 0.0467. If four cars are randomly selected, find the probability that at least one has an accident during the coming year. Round to 4 decimals.

The probability that at least one has an accident during the coming year is 0.1336

Step-by-step explanation:

The probability that a randomly selected car will be in an accident in the next year in a particular country is 0.0467

P (Accident) = 0.0467

P (No accident) = 1-P (Accident) = 1-0.0467=0.9533

Now we are supposed to find four cars are randomly selected, find the probability that at least one has an accident during the coming year

So, P (Out of 4 at least 1 has accident) = 1-P (none of the 4 cars has accident)

P (Out of 4 at least 1 has accident) = 1 - (0.9533) (0.9533) (0.9533)

P (Out of 4 at least 1 has accident) = 0.1336

Hence the probability that at least one has an accident during the coming year is 0.1336