Question

In venn diagram if two events are different (independent) then how intersection is not zero[p(anb)]

Answer 1

This question checks if you have understood the definition of independent events. Let’s look at what it says. Two events A and B are said to be independent if occurrence or nonoccurrence of A does not affect the occurrence or nonoccurrence of B and vice versa. To understand this, let’s consider an example of throwing a coin.
Let us consider two events which does not have any common elements.
A = getting a head when a coin is thrown once = {H}
B = getting a tail when a coin is thrown once = {T}
As we can see, there are no common elements for these two events.
Now, if I say event A has happened, can we say that event B would not happen? Yes. It means that the occurrence of one event affects the occurrence of the other. So these two events are not independent.
⇒ The given statement is false