What do you mean by the providence of God?

The almighty and everywhere present power of God, whereby, as it were by his hand, he still upholds heaven, earth, and all creatures, and so governs them that herbs and grass, rain and drought, fruitful and barren years, food and drink, health and sickness, riches and poverty, yea, all things, come not by chance but by his fatherly hand.

What does it profit us to know that God has created, and by his providence still upholds, all things?

 That we may be patient in adversity, thankful in prosperity, and with a view to the future may have good confidence in our faithful God and Father that no creature shall separate us from his love, since all creatures are so in his hand that without his will they cannot so much as move.

Article 13: Of Divine Providence.

We believe that the same God, after he had created all things, did not forsake them, or give them up to fortune or chance, but that he rules and governs them according to his holy will, so that nothing happens in this world without his appointment: nevertheless, God neither is the author of, nor can be charged with, the sins which are committed. For his power and goodness are so great and incomprehensible, that he orders and executes his work in the most excellent and just manner, even then, when devils and wicked men act unjustly. And, as to what he doth surpassing human understanding, we will not curiously inquire into, farther than our capacity will admit of; but with the greatest humility and reverence adore the righteous judgments of God, which are hid from us, contenting ourselves that we are disciples of Christ, to learn only those things which he has revealed to us in his Word, without transgressing these limits. This doctrine affords us unspeakable consolation, since we are taught thereby that nothing can befall us by chance, but by the direction of our most gracious and heavenly Father; who watches over us with a paternal care, keeping all creatures so under his power, that not a hair of our head (for they are all numbered), nor a sparrow, can fall to the ground, without the will of our Father, in whom we do entirely trust; being persuaded, that he so restrains the devil and all our enemies, that without his will and permission, they cannot hurt us. And therefore we reject that damnable error of the Epicureans, who say that God regards nothing, but leaves all things to chance.