Example:

• Determine whether the events E and G are independent.

The events E and G are independent if P(E∩G) = P(E)P(G).

Therefore, we need to show P(E∩G) = P(E)P(G).

P(E∩G) = P({6}) = 1/6

P(E) = 1/2, P(G) = 1/3

P(E)P(G) = 1/21/3 = 1/6 = P(E∩G)

=> E and G are independent.