The standard interpretation of entanglement is that there is some kind of instant communication happening between the two particles. Any communication between them would have to travel the intervening distance instantaneously—that is, infinitely fast. That is plainly faster than light, a speed of communication prohibited by the theory of relativity. According to Einstein, nothing at all should be able to do that, leading him to think that some new physics must be operating, beyond the scope of quantum mechanics itself.
Suppose it is not the case that the particles (or dice) communicate instantaneously with each other, and it is also not the case that their values were fixed in advance. There seem to be no options remaining. But here Price asks us to consider the impossible: that doing something to either of the entangled particles causes effects which travel backward in time to the point in the past when the two particles were close together and interacting strongly. At that point, information from the future is exchanged, each particle alters the behavior of its partner, and these effects then carry forward into the future again. There is no need for instantaneous communication, and no violation of relativity.