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The probability of the intersection is calculated by rearranging the inclusion-exclusion formula to $P(E \cap F) = P(E) + P(F) - P(E \cup F)$. This is done by adding the intersection term to both sides of the original formula and subtracting the union term from both sides.

Conditions: The probabilities of the two individual events and their union are known.

The probability of the intersection is calculated by rearranging the inclusion-exclusion formula to $P(E \cap F) = P(E) + P(F) - P(E \cup F)$. This is done by adding the intersection term to both sides of the original formula and subtracting the union term from both sides.

Conditions: The probabilities of the two individual events and their union are known.

To solve for the intersection probability, substitute the classical probabilities (favorable outcomes divided by total outcomes) into the inclusion-exclusion formula, keep a common denominator during the algebraic steps, and isolate the unknown intersection term.

Conditions: The sample space is finite and all outcomes are equally likely.; The probabilities of the two individual events and their union are known.

To solve for the intersection probability, substitute the classical probabilities (favorable outcomes divided by total outcomes) into the inclusion-exclusion formula, keep a common denominator during the algebraic steps, and isolate the unknown intersection term.

Conditions: The sample space is finite and all outcomes are equally likely.; The probabilities of the two individual events and their union are known.