Quote from profitseer:
Is a coin toss random?
If I go long on heads, how did I decide heads was long and not short? What do I do? Flip a coin to decide if heads is going to be long or short? And then how do I decide which one is going to be yes, heads or tails.
Randomness in probability theory has to do with statistical independence. In your example randomness would be the case provided the outcome of the flip is statistically independent from your prior decision to go long on heads. This would be so in the case of a "fair" flip.

