Table of Contents
- 1 How do you know if A and B is mutually exclusive?
- 2 What is the difference between independent and dependent events give an example of each?
- 3 What are independent and dependent events in probability?
- 4 What are the conditions for two events to be independent?
- 5 What is the difference between independent and mutually exclusive events?
How do you know if A and B is mutually exclusive?
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0. Therefore, A and C are mutually exclusive.
What is the difference between independent and dependent events give an example of each?
This is true of events in terms of probability, as well as in real life, which, as mentioned above, is true of dependent events as well. For example, the color of your hair has absolutely no effect on where you work. Independent events don’t influence one another or have any effect on how probable another event is.
How do you know if events are dependent?
Independent Events
- Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur.
- If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.
What are independent and dependent events in probability?
Independent Events: Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.
What are the conditions for two events to be independent?
The outcome of the first roll does not change the probability for the outcome of the second roll. To show two events are independent, you must show only one of the above conditions. If two events are NOT independent, then we say that they are dependent. Sampling may be done with replacement or without replacement.
What is the formula to calculate dependent events?
If A and B are dependent, then the formula we use to calculate P (A∩B) is: Dependent Events: P (A∩B) = P (A) * P (B|A) Note that P (B|A) is the conditional probability of event B occurring, given event A occurs. The following examples show how to use these formulas in practice.
What is the difference between independent and mutually exclusive events?
Independent and mutually exclusive do not mean the same thing. Two events are independent if one of the following are true: Two events A and B are independent if the knowledge that one occurred does not affect the chance the other occurs. For example, the outcomes of two roles of a fair die are independent events.