Logic / Logic 345 · Atom · ~20 seconds
Conjunction: Independent Events
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State
For independent events, P(A and B) = P(A) × P(B).
Show
Two fair coins, two heads: ½ × ½ = ¼.
Watch for
*Independent* is the license. Multiplying dependent probabilities as if independent is the calculus's most consequential misuse — courtrooms included.