I am doing some analysis looking at various negative outcomes for children (child labour, begging, etc.) and comparing them with a range of households characteristics (child headed, large households, elderly headed households etc)

The results show some interesting findings. For instance, regression the binary dependent variable of 'begging' or not give me the odds ratio of 2.5 for child headed households. For the same regression, the margins commands shows probabilities of 0.57 for child headed households and 0.35 for adult headed households.

I am at a loss as the best way to interpret these findings in a manner which makes sense for the data...

Is it more intuitive to say child headed households are 2.5 times more likely to beg than adult headed households (or is this not correct interpretation), or is the better interpretation that child headed households are 1.6 times more likely to beg than adult headed households (0.57 v 0.35).

Can anyone assist?