To explain what “two entangled particles” means it is appropriate to use the following comparison:
Alice measures one particle and far away Bob measures the other one.
Each measurement can be compared to tossing a fair coin:
Alice gets either ‘head’ (1) or ‘tail’ (0) randomly, and similarly does Bob.
So the possible join results of Alice and Bob are:
(1,1): Alice gets ‘head’ and Bob ‘head’
(1,0): Alice gets ‘head’ and Bob ‘tail’.
(0,1): Alice gets ‘tail’ and Bob ‘head’.
(0,0): Alice gets ‘tail’ and Bob ‘tail’.
If Alice looks at her results she notices nothing particular: She gets a sequence with half of ‘1’ and half of ’0’ randomly distributed, like for instance:
And similarly for Bob.
The amazing thing is that the order of Bob’s sequence is exactly the same as that of Alice’s sequence:
That is: If Alice gets ‘head’ Bob gets ‘head’, and if Alice gets ‘tail’ Bob gets ‘tail’.
Since the flips can be arranged almost simultaneously, this correlation cannot be explained by any communication in space-time, that is, signals travelling at the velocity of light or less.
On the other hand one cannot predict (even in principle) whether the result (1,1) or the result (0,0) happens, and therefore there is indeterminism.
One can say that (1,1) does not consist of two results but it is a single nonlocal result appearing from outside space-time. And same thing for (0,0).
In conclusion you have purpose (correlation) and unpredictability at once, and this is the very sign of free will.
So if you acknowledge that Alice and Bob are free to toss their coins like they want, then you have to acknowledge that there is a free-will deciding either result (1,1) or result (0,0), and this free-will is beyond space-time. In other words the nonlocal correlation we observe makes visible an invisible author.
This comparison is not fitting, because in case of the ‘electron’ there is no possibility of deciding between two alternatives (say ‘positive’ or ‘negative’ charge), whereas each particle in an entangled system has the alternative of producing result ‘1’ or result ‘0’.