JEE Advance - Mathematics (1988 - No. 3)
For two given events $$A$$ and $$B,$$ $$P\left( {A \cap B} \right)$$
not less than $$P\left( A \right) + P\left( B \right) - 1$$
not greater than $$P\left( A \right) + P\left( B \right)$$
equal to $$P\left( A \right) + P\left( B \right) - P\left( {A \cup B} \right)\,\,$$
$$P\left( A \right) + P\left( B \right) + P\left( {A \cup B} \right)\,\,$$