What are Independent and Dependent Events in the Probability?
Probability defines the likelihood of occurrence of an event.
Answer: If the occurrence of one event affects the probability of another event then it is dependent otherwise independent.
Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.
There are two types of events in probability which are often classified as dependent or independent events.
The difference is given below in the table.
|Dependent Events||Independent Events|
|1. The occurrence of one event affecting the probability of another event.||1. The occurrence of one event not affecting the probability of another event.|
2. Formula can be written as: P(A and B) = P(A) × P(B | A)
2. Formula can be written as: P(A and B) = P(A) × P(B)
Dependent events are like winning a lottery if 7 tickets are purchased (the more number of tickets, the more chance of winning) while the independent event will be winning a lottery by selecting a number out of n numbers.