Answer:
P(p∩Q) = 0.
Step-by-step explanation:
Given the Addition Rule:
P(p∪Q) = P(p) + P(Q) - P(p∩Q)
P(p or Q) = P(p) + P(Q) - P(p and Q)
Events p and Q are disjoint (or mutually exclusive) if they cannot occur at the same time. (That is, disjoint events do not overlap.)
Hence, whenever p and Q are disjoint, P(p and Q) becomes zero in the formal addition rule, so for disjoint events p and Q we have:
P(p or Q) = P(p) + P(Q).
Therefore, the cardinal number of P(p∩Q) = 0.
