Let me start over.

You could define "randomness" to mean indeterminism. If you do so, you would call the results of a fair, indeterministic coin toss random. Even so, if I tossed such a quantum coin, and you saw it land on heads, you would not be willing to bet even money that it landed on tails. P(coin landed on heads|your current information) ≈ 1. When you're finding expected value, this is all that matters.