Question

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?

Answer 1

∵ P(E). P(F) = `3/5 xx 3/10`

= `9/50 ne 1/5`

= `9/50 ≠ P(E ∩ F)`   

Therefore, E and F are not independent.