Answer: 0.9
Explanation:
For any event A , the probability of event A will occur be P(A).
Then , the probability of not occuring the event A will be given by :-

The given statement : The probability that an event will occur is 0.1.
That is ,

Now, the probability that the event will NOT occur is given by :-

Hence, the probability that the event will NOT occur = 0.9