Do you believe in free will?

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if you drop a dice gravity ensures it must fall towards the centre of the earth, but there are no laws determining what side will be facing up when it comes to rest.

I disagree. If you were to track, mathematically, the trajectory, the speed and all factors affecting the fall of that dice, ie: gravity, weight, mass, shape etc, you could determine exactly which number it was going to land on. The reason it seems to be random, is because we can never drop it in exactly the same fashion or environment as before.

Similarly 10 different people will make 10 different choices when confronted with a complex situation.

If there were no free will they would be constrained to make the same choice as the others.

Yes, they make different decisions, but this is because they are different people, coming from different genetics and growing up with very different backgrounds with very different influences through their life.

Using the example of the dice you used, if you were to throw two identical dice from an identical starting point and position, each being affected by identical forces, they would land on the same number. However if the dice were different, if one was slightly bigger, or slightly more rounded, or a little heavier, then that would mean that the forces acting upon it would create a different outcome and the dice would land differently.