 A more realistic distribution for formula_17 in the alternative hypothesis produces a less surprising result for the posterior of formula_2.For example, if we replace formula_3 with formula_80, i.e., the maximum likelihood estimate for formula_17, the posterior probability of formula_2 would be only 0.07 compared to 0.93 for formula_83 (Of course, one cannot actually use the MLE as part of a prior distribution).The paradox continues to be a source of active discussion.