Probability

A random experiment is a process

A random experiment is a process with multiple possible outcomes that cannot be predicted in advance. The sample space (S) is the set of all possible

An event is a subset

An event is a subset of the sample space. Events can be classified as: Independent (occurrence doesn't affect other events), Dependent (occurrence aff

The probability of an event E

The probability of an event E occurring given that another event F has already occurred, denoted as P(E|F). Formula: P(E|F) = P(E∩F)/P(F), provided P(

If events A₁

If events A₁, A₂, ..., Aₙ form a partition of sample space S, then for any event B: P(B) = Σ P(B|Aᵢ)P(Aᵢ). This theorem helps calculate the probabilit

For events A₁

For events A₁, A₂, ..., Aₙ forming a partition of S and event B: P(Aᵢ|B) = [P(Aᵢ)P(B|Aᵢ)] / [Σ P(Aⱼ)P(B|Aⱼ)]. It helps find the probability of a hypot