Question

what is the probability of an event occurring given that another event has already occurred called, written as p(a|b)?

• conditional probability
• independent events
• simple probability
• dependent events

Explanation:

To determine the correct answer, we analyze each option:

• "Conditional Probability" is defined as the probability of an event (A) occurring given that another event (B) has already occurred, denoted as \( P(A|B) \).
• "Independent Events" are events where the occurrence of one does not affect the probability of the other, so this is not the case here.
• "Simple Probability" refers to the probability of a single event occurring without any conditions, which does not match the given notation.
• "Dependent Events" describe events where the occurrence of one affects the probability of the other, but the term for the probability calculation in such a scenario is conditional probability, not just "dependent events" as a label for the probability type.

Answer:

A. Conditional Probability