Is it irrational to believe in miracles?

We believe in logic, probabilities and possibilities. Mostly we All do yet there are people who witness miracles in their own life and in others life. Every roads takes you somewhere we can imagine the possibility of where it will take us by thinking logically. Yet there are miracle, life changes drastically for some people. While I myself am walking the unfamiliar and unknown road to somewhere, I believe it's not going to be pleasing but the hope inside me that, that there will be miracle and my life will have great change. know what am supposed to believe, the confusion in me. Miracles, logics, possibilities, probabilities. Can they even coexist??