 A closely related problem for the weak conception presents itself. Suppose for the sake of argument that we settle on .9 as the required level of probability. Suppose further that you believe Q and you believe R, that Q and R are both true, and that you have reached the .9 threshold for each. Thus the weak conception entails that you know Q, and you know R. Intuitively, if you know Q and you also know R, then you’re automatically in a position to know the conjunction Q &amp; R. But the weak conception cannot sustain this judgment. For the probability of the conjunction of two independent claims, such as Q and R, equals the product of their probabilities. (This is the special conjunction rule from probability theory.) In this case, the probability of Q = .9 and the probability of R = .9. So the probability of the conjunction (Q &amp; R) = .9 × .9 = .81, which falls short of the required .9. So the weak conception of knowledge along with a law of probability entail that you’re automatically not in a position to know the conjunction (Q &amp; R). BonJour considers this to be “an intuitively unacceptable result”, because after all,