The differences between the three are not that simple.
Actuaries usually work for insurance companies, their career is quite limited. Accountants are widely used in almost all companies, so among the three, they are least worried about their jobs. CFAs are mainly working for investment banks/securities companies.
I think, some accountants also deal with estimation of numbers and stats, for example, if you work as an accountant in insurance companies. actuaries often also need to forecast future, for some of them, it is their daily work. Even accountants also forecast future sometimes, e.g. they will do profit forecast to help manage the company and do budgeting to control future costs. CFA also deals with stats, as they need to use history to find out the pattern of market movements, etc., sometimes they use hedge/arbitrage more than than predicting future, as prediction is not reliable enough to make money.