[I thank You] for Your miracles that are with us each day (Siddur).
I once heard it said, "Coincidences are miracles in which God prefers to remain anonymous."
If we were to carefully scrutinize everything that occurs in our daily lives, we would find many such "coincidences." Sometimes we may not be aware of the significance of a particular occurrence until much later, when we may have forgotten how or why we think it occurred, and so we just write it off to chance. Other times, we notice that things seem to "just happen at the right time." And in some instances, the likelihood of the desired occurrence being chance is statistically so remote that it may penetrate the skepticism of even the most confirmed non-believer.
Why don't people see the Divine hand in so many things? Could it be that being aware would require them to be thankful to God, because it is unconscionable to be an ingrate (and if one has difficulty with feelings of gratitude, it is simply easier to deny the awareness of the Divine favor)? Could it be that the awareness that God is looking after them would obligate them to live according to the Divine will, and since that might entail some inconveniences and restrictions on their behavior, it is more comfortable to believe that "God does not care"?
Psychologists have great respect for the human capacity to rationalize, to convince oneself of the absolute truth of whatever it is that one wishes to believe or not believe. How much wiser we would be to divest ourselves of such self-deceptions.