An event A is said to be independent of another event B if the probability of occurrence of one of them is not affected by the occurrence of the other.

Mathematically, we can say the events A and B are independent if P(A and B) = P(A) x P(B)

There are 2 ways to test for independence

1) P( AnB) = P(A) x P(B)

2) P( A/B) = P(A)

P(A|B)=P(A) P(B|A)=P(B)

Independent events are defined as events where their probabilities won't affect each other. Therefore one formula for independent events is P(A and B) = P(A)P(B)

P(A and B) = P(A) * P(B)

P(A and B) means the probability of A and B both occurring is called a compound event. 

P(A) means the probability of A occurring. 

P(B) means the probability of B occurring.

If A and B are two independent events, then the probability of their intersection is equal to the product of the probabilities of each event, that is, P(A n B) = P(A) x P(B)

if two events are independent then their mutual probability is the product of their indivisual probablity. that is

When A and B are 2 independent events, we have : P(A \cap B) = P(A) * P(B)

Yes P(A Intersection B) = P(A) x P(B)

The probability of the intersection of all independent events is the product of the probability of each event. In a more formal way it can be written as

P(A and B) = P(A) * P(B)