Suppose God gives to each person the greatest equal probability of being saved. It is true, suppose, that there are two, and only two, groups of people. The members of one group will all be saved and the members of the other group will all be damned. The good news is that one of the groups is twice as large as the other. God gives each person the greatest equal probability of being saved only if he saves every member of the larger group. The epistemic probability that you are among the saved is then about .67 or 2/3.
Now suppose God offers to tell everyone whether she is in the larger group or the smaller group. Would it be rational to accept this information? If everyone learns which group she is in, then the greatest equal epistemic probability that each person is saved diminishes to .5 or 1/2. God must now flip a coin to decide which group is saved, the smaller or the larger. That is the only way to give each person the greatest equal probability of being saved. What should you do?
It is a strange problem since, if we refuse the information, many more people get saved! It is also strange since, you are already in one or the other of those groups. The information doesn’t affect which group you’re in.