Independence and Incompatibility of Random Events
In probability theory, independence and incompatibility are concepts related to the relationship between random events.
- Independence: Two events are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the occurrence or non-occurrence of the other event. In other words, knowing whether one event happens provides no information about the likelihood of the other event happening.
Events A and B are independent if P(A intersection B) = P(A)*P(B); - Incompatibility: Two events are incompatible if they cannot occur simultaneously. If the occurrence of one event excludes the possibility of the other event happening, they are considered incompatible. For example, flipping a coin and getting heads and tails simultaneously is incompatible since the coin can only show one side at a time.
Events A and B are incompatible if P(A intersection B) = 0.
Examples of independent and incompatible events:
Tutto è chiaro?
Grazie per i tuoi commenti!
Sezione 1. Capitolo 5
Chieda ad AI
Chieda ad AI
Chieda pure quello che desidera o provi una delle domande suggerite per iniziare la nostra conversazione
Awesome!
Completion rate improved to 3.85
Independence and Incompatibility of Random Events
Scorri per mostrare il menu
In probability theory, independence and incompatibility are concepts related to the relationship between random events.
- Independence: Two events are considered independent if the occurrence or non-occurrence of one event does not affect the probability of the occurrence or non-occurrence of the other event. In other words, knowing whether one event happens provides no information about the likelihood of the other event happening.
Events A and B are independent if P(A intersection B) = P(A)*P(B); - Incompatibility: Two events are incompatible if they cannot occur simultaneously. If the occurrence of one event excludes the possibility of the other event happening, they are considered incompatible. For example, flipping a coin and getting heads and tails simultaneously is incompatible since the coin can only show one side at a time.
Events A and B are incompatible if P(A intersection B) = 0.
Examples of independent and incompatible events:
Tutto è chiaro?
Grazie per i tuoi commenti!
Sezione 1. Capitolo 5