The probability of a randomly selected car crashing during a

The probability of a randomly selected car crashing during a year in a certain country is 0.0486.

Solution

The probability of a random selected car crashing during a year in a certain country is 0.0486.

total number of car in the family = 4

Probability at least one car crashed during a year = P( one car crash)+P( two car crash)+ P( three car crash)+P( four car crash) = 0.0486 + 0.0486 * 0.0486 + 0.0486 * 0.0486 * 0.0486 + 0.0486 * 0.0486 * 0.0486 * 0.0486

= 0.0486 + 0.0023 + 0.000114 + 0.000005578

= 0.0510

Probability at least one car crashed during a year = 1 - P(no car crashed) =

P(no crash) = 4C0 (0.9514)^0(.0486)