Final answer:
In the context of probability, two events are considered dependent if one affects the probability of the other. They are independent if one does not affect the other's probability. P(A AND B) not equaling P(A)P(B) indicates dependence.
Step-by-step explanation:
When addressing the question of whether an item from a Bill of Materials (BOM) can be both dependent and independent, it's essential to clarify that this concept pertains to the field of probability within mathematics. However, in the context of probability, two events A and B are considered dependent if the occurrence of one event affects the probability of the other event occurring. Conversely, they are independent if the occurrence of one does not affect the probability of the other happening.
The provided example suggests calculating the probability of A and B occurring together (P(A AND B)) and comparing it to the product of their individual probabilities (P(A)P(B)). If P(A AND B) does not equal P(A)P(B), then A and B are considered dependent. In this scenario, the probabilities do not multiply to equal the joint probability, confirming that A and B are indeed dependent.
It is worth noting that in the example provided, the equation P(A AND B) = 0. P(A)P(B) = (3) (+) is likely a typographical error as it does not follow standard probability notation.
The complete question is:An item from a BOM can be both dependent and independent if