Step 1 :Given that the probability of event E, denoted as \(P(E)\), is 0.11.
Step 2 :The probability that event E will not occur, denoted as \(P(\neg E)\), is calculated as 1 - \(P(E)\), which equals 1 - 0.11 = 0.89.
Step 3 :The odds against E is the ratio of the probability that the event will not occur to the probability that the event will occur, which is \(\frac{P(\neg E)}{P(E)}\).
Step 4 :Substituting the given values, we get \(\frac{0.89}{0.11}\) = 8.09.
Step 5 :Therefore, the odds against E are \(\boxed{8.09}\) to \(\boxed{1}\).