ANSWER
[tex]P(A)' = 0.65[/tex]
EXPLANATION
The probability of A complement is given by;
[tex]P(A)' = 1 - P(A)[/tex]
The probability that an event A will occur is
[tex]P(A) = 0.35[/tex]
The probability of the complement of A is
[tex]P(A)' = 1 - 0.35[/tex]
[tex]P(A)' = 0.65[/tex]
This means that the probability that the event will not occur is 0.65.