The total number of persons = 535
The number of persons that does not drive a red car is 304
The number of persons that didn't get a speeding ticket is 494
The number of persons that don't drive a red car and didn't get a speeding ticket is 279
Therefore, the probability that a person selected at random does not drive a red car and did not get a speeding ticket is
(number of persons not driving a red car + number of persons without speeding ticket - number of persons in both cases)/total number of persons
Thus, we have
(304 + 494 - 279)/535
= 0.97
The probability is 0.97