Question

The odds in favor of an event are 2:9 What are the odds against the event?

Answer 1

We have that the odds in favor are 2 : 9, we can also write it like this:

$2\colon9=\frac{2}{9}$

now, the odds agains the event is the complement of the odds in favor, then:

$1-\frac{2}{9}=\frac{7}{9}$

therefore, the odds against the event are 7:9