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.
Explanation:
There are two types of events in probability which are often classified as dependent events and 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.
Thus, if the occurrence of one event affects the probability of another event then it is dependent otherwise it is an independent event.
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