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Let $A$ and $B$ be two arbitrary events, then :

  1. $P\left ( A\cap B \right )= P\left ( A \right )P\left ( B \right )$
  2. $P\left ( P\cup B \right )= P\left ( A \right ) + P\left ( B \right )$
  3. $P\left ( A\cup B \right )\leq P\left ( A \right ) + P\left ( B \right )$
  4. $P\left ( A/ B \right )=P\left ( A\cap B \right )+P\left ( B \right )$
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