What can coin flips tell us?

Flipping a coin multiple times will initially seem to produce a random and meaningless pattern. Heads or tails don't seem to matter.

Yet if we either flip the coin for a long time or have multiple people doing the flipping patterns begin to emerge. We see long streaks of heads or tails.

The cosmos is well arguably infinite and eternal, and it would correspond to many flippers flipping coins for a very long time. Infinite operations (or flips) are performed.

And the long streaks of heads or tails are well arguably likable to creation and destruction happening within the cosmos. Overall balance between them will not negate the idea of order emerging from chaos. To my mind this is proof that a cosmos governed by chance is perfectly capable of producing life without assistance from an intelligent agency.