You don’t have to factor out the priors both times, since putting it back in will cancel one of them out. This is equivalent to considering how one of them will update based on the information the other has.
(8/2)/(4/6) * (7/3) = 336⁄24, 336/(336+24) = 0.933
You don’t have to factor out the priors both times, since putting it back in will cancel one of them out. This is equivalent to considering how one of them will update based on the information the other has.
(8/2)/(4/6) * (7/3) = 336⁄24, 336/(336+24) = 0.933