An analysis of auto accidents shows that one in four acciden

An analysis of auto accidents shows that one in four accidents results in an insurance

claim. In a series of independent accidents, find the probability that the first accident

resulting in an insurance claim is one of the first 3 accidents

Solution

This is like asking the probability of at least one claim in 3 accidents.

Thus,

P(at least one claim) = 1 - P(no claim)

= 1 - (1-1/4)^3

= 0.578125 [ANSWER]