 The evidence positively supports each hypothesis, yet it is conceivable that the likelihood ratio should equal one in this context. Further, consider two competing hypotheses that are not exhaustive. Suppose Fred and Bill attempted to rob a man. The victim resisted, was struck on the head and died. Say \(H_p\) stand for “Fred struck the fatal blow” and \(H_d\) stand for “Bill struck the fatal blow”. The hypotheses are not exhaustive because a third hypothesis is “The man did not die from the blow”. Suppose \(E\) is the information that the victim had a heart attack six months earlier. The likelihood ratio