Allah tells in the Quran how He showed a miracle to Zakariya عليه السلام by bestowing an offspring in a very unlikely age which was a very impossible thing. Are these just for prophets or can we also expect and hope such impossibles to happen with us with sincere dua. You d say with Allah everything is possible n always make dua but we usually dont see such impossibles happen around us.So are these miracles just for prophets.I ll be really thankful for your enlightening reply

I believe God performs miracles every day, the difference is that with prophets He allows them to see the miracle, while for us, He hides the miracle so that we can always doubt whether it was a miracle or just a natural event or coincidence. 

God wants us to always have the option to doubt His existence, so this means that He does not show us any provable miracles, He always leaves some room for doubt.