Question

Let E and F be events with . Are E and F independent?

Answer 1

It is given that probability of E is 3 5 , the probability of F is 3 10 , and the probability of P( E∩F )= 1 5 .

The formula for two independent events is,

P( E∩F )=P( E )⋅P( F )

Substitute the given values in the above formula we get,

P( E∩F )= 3 5 × 3 10 = 9 50

It can be observed that P( E∩F )≠P( E )⋅P( F ).

Hence, E and F are not independent events.