Given:
P(occurrence of event A) = 0.7
P(occurrence of event B) = 0.3
and P(occurrence of both) = 0.4
We know that,
P(A ⋂ B) = P(A) × P(B)
[when A and B are independent events]
⇒ P(A ⋂ B) = 0.7 × 0.3
⇒ P(A ⋂ B) = 0.21
But given that P(A ⋂ B) = 0.4
Hence, the given statement is False.