Answer
P(not on November 8) $=\frac{364}{365}\approx0.997$
Work Step by Step
The sample space: a year (365 days). So, N(S) = 365.
The event "a person does not have a birthday on November 8" is the complement of "a person has a birthday on November 8". But, November 8 is a day of the year, which means N(November 8) = 1.
Now:
P(not on November 8) = 1 - P(November 8) =
$1-\frac{N(\text{November 8})}{N(S)}=\frac{365}{365}-\frac{1}{365}=\frac{364}{365}\approx0.997$
