Check whether the following probabilities $P(A)$ and $P(B)$ are consistently defined: $P(A) = 0.5$,$P(B) = 0.7$,$P(A \cap B) = 0.6$.

(N/A) Given: $P(A) = 0.5$,$P(B) = 0.7$,and $P(A \cap B) = 0.6$.
It is a fundamental property of probability that for any two events $A$ and $B$,the intersection of the events must be a subset of each individual event,i.e.,$(A \cap B) \subseteq A$ and $(A \cap B) \subseteq B$.
Consequently,the probability of the intersection must satisfy $P(A \cap B) \leq P(A)$ and $P(A \cap B) \leq P(B)$.
In this case,we observe that $P(A \cap B) = 0.6$ and $P(A) = 0.5$.
Since $0.6 > 0.5$,the condition $P(A \cap B) \leq P(A)$ is violated.
Therefore,the given probabilities $P(A)$ and $P(B)$ are not consistently defined.