The Multiplication Rule – Bernoulli Trials (Leaving Cert Mathematics): Flashcards

$P(A \text{ and } B) = P(A) \times P(B)$

AND rule

Events where the outcome of one doesn't affect the outcome of the other

Repeated trials with 2 outcomes, constant P, independence

Each trial has exactly two outcomes (success/failure)

Probability of success remains constant for each trial

Each trial is independent of outcomes of other trials

1654-1705, Swiss mathematician

All previous trials must be failures

$P(\text{FFS}) + P(\text{FSF}) + P(\text{SFF})$