Final answer:
The statement is false; while two contingencies can combine to make another contingency, there are cases where the conjunction of two contingencies could result in a probability of 0, which indicates impossibility, not another contingency.
Step-by-step explanation:
The statement that the conjunction of two contingencies always produces another contingency is False. The term 'contingencies' in this context likely refers to contingent events in probability, meaning the events don't necessarily have to occur; their happening or not happening is not certain. The conjunction of two contingent events (often represented as P(A AND B)) can sometimes result in a contingency, but not always. For example, if A and B are mutually exclusive events, meaning they cannot occur together, then P(A AND B) = 0, which indicates that the conjunction is an impossibility rather than a contingency because something that has a probability of 0 is not contingent, it is impossible. Conversely, if events A and C are not mutually exclusive, and in fact one includes outcomes of the other, then the conjunction can yield a contingency with P(A AND C) being equal to P(A), assuming A is fully contained within C.