section_path: Mathematical treatment/Independent events
section_name: Independent events
paragraph_text: Independent events
  
  If two events, A and B are independent then the joint probability is
  
  P (A and B) = P (A ∩ B) = P (A) P (B). {\displaystyle P(A{\mbox{ and }}B)=P(A\cap B)=P(A)P(B).}
  
  For example, if two coins are flipped, then the chance of both being heads is 1 2 × 1 2 = 1 4. {\displaystyle {\tfrac {1}{2}}\times {\tfrac {1}{2}}={\tfrac {1}{4}}.}