Let A = Event that student will pass examination
and B = Event that student will get compartment
Then, we have
P(A) = 0.73, P(B) = 0.13 and P(A ⋃ B) =0.96
Now, we have to find P(A ⋂ B)
By General Addition Rule, we have
P(A ⋃ B) = P(A) + P (B) – P(A ⋂ B)
⇒ P(A ⋃ B) = 0.73 + 0.13 – 0
[∵ A and B are independent events]
⇒ P(A ⋃ B) = 0.86
But P(A ⋃ B) = 0.96
Hence, the given statement is False.