Why is probability theory important?

Answer 1

Very many events in daily life are uncertain. Or, given the amount of information that we can collect and process in real time, they may as well be random. The daily weather, the gender of a child when conceived, whether or not you hit a red light two miles down the road, whether the next chip made is faulty and so on. Some things are truly random - such as physics at the quantum level. Probability theory allows you to put some measure on the degree of uncertainty and work out how likely different outcomes are so that, in some case, you can plan around those uncertainties.