Logic / Unit 7 Logic 345 short lesson, about 20 seconds
Conjunction: Independent Events
Captions available
The idea
For independent events, P(A and B) = P(A) × P(B).
In practice
Two fair coins, two heads: ½ × ½ = ¼.
Where people slip
Independent is the license. Multiplying dependent probabilities as if independent is the calculus's most consequential misuse — courtrooms included.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Something wrong in this lesson? Flag it · Sources for Logic