Question

The probability of a randomly selected car crashing during a year in a certain country is 0.0478. if a family has fourfour ​cars, find the probability that at least one of them has a car crash during a year. is there any reason why the probability might be​ wrong?

Answer 1

Answer: Probability that at least one of them has a car crash during a year is 0.177.

Explanation:

Since we have given that

Probability of car crashing during a year in a certain country = 0.0478

Probability of not getting any car crash during a year = 1-0.0478 = 0.9522

We need to find the "Probability that at least one of them has a car crash during a year ":

Probability that at least one of them has a car crash during a year=1-P(not getting any car crash )

`1-(0.9522)^4\\\\=1-0.822\\\\=0.177`

Hence, Probability that at least one of them has a car crash during a year is 0.177.