Let E and F be events with P (E)= 3/5, P (F) = 3/10 and P (E ∩ F) = 1/5. Are E and F independent?
Given: P(E) = 
, P(F) = 
and P(E ∩ F) = 
P(E) . P(F) = 
⇒ P (E ∩ F) ≠ P(E) . P(F)
Therefore, E and F are not independent events.
6
Let E and F be events with P (E)= 3/5, P (F) = 3/10 and P (E ∩ F) = 1/5. Are E and F independent?
Given: P(E) = , P(F) = and P(E ∩ F) =
P(E) . P(F) =
⇒ P (E ∩ F) ≠ P(E) . P(F)
Therefore, E and F are not independent events.