If Cricket balls are symmetrical why do they often curve when flying through the air?

In many games like cricket, golf, tennis and baseball, we notice that a spinning ball deviates from its parabolic trajectory as it moves through air.
I know that this deviation can be partly explained on the basis of Bernoulli’s principle, I already have text regarding this topic, I was just wondering if someone could explain the phenomenon in simpler words.
Thank you very much.