"The notation P(F|E) means the probability of event ________ given event ________.

Verified step by step guidance

1. Understand that the notation \(P(F|E)\) represents a conditional probability.
2. Recall that conditional probability \(P(F|E)\) is read as "the probability of event F given event E."
3. This means we are interested in the probability that event F occurs under the condition that event E has already occurred.
4. In other words, event E is the condition or known event, and event F is the event whose probability we want to find.
5. So, \(P(F|E)\) means the probability of event F given event E.

Key Concepts

Conditional Probability

Conditional probability refers to the likelihood of an event occurring given that another event has already occurred. It is denoted as P(F|E), meaning the probability of event F happening under the condition that event E is true.

Events in Probability

An event is a specific outcome or a set of outcomes from a random experiment. Understanding what events E and F represent is essential to interpret conditional probability correctly.

Notation P(F|E)

The notation P(F|E) is read as 'the probability of F given E.' It emphasizes that the probability of F is evaluated in the context where E has occurred, which can affect the likelihood of F.