The parent is correct, as far as it goes. The weird bit that QM adds is that the two entangled particles will be measured to have a random spin, but they are always opposite spins. Do the experiment a million times, and each measurement gives "spin up" 50% of the time and "spin down" 50% of the time, but the other measurement is always the opposite.
If the measurement events are spacelike-separated (i.e., no signal can move between them), how can they give correlated but totally random results? The standard QM explanation is that measuring one particle instantaneously collapses the wavefunction that describes both particles, thus fixing the result of the other measurement. This is Einstein's "spooky action at a distance" that he so hated.