CONCEPT 1 – Compound Probabilities and Conditional Probability
As mentioned in an earlier objective when we do more than one event in succession (a compound probability) we have to concern ourselves with whether these events are independent or not.
We now have two multiplication rules for these two cases:
INDEPENDENT P(A and B) = P(A) • P(B) |
NOT INDEPENDENT P(A and B) = P(A) • P(B|A)
P(A and B) = P(B) • P(A|B)
|
When events are independent then P(A and B) = P(A) • P(B). |
Let us look at some more examples of when the two events are dependent.
When events are not independent then P(A and B) = P(A) • P(B|A) |
CONCEPT 2 – Formula connectivity
When we learned conditional probability we determined that:
|