Product Rule for Independent Events Events E and F independent events if and only if P(E ∩ F) = P(E) * p(F).
Month: August 2014
Independent Events
Independent Events Events E and F are independent events if P(F│E)=P(F) or P(E│F) = P(E).
Product Rule Of Probability
Product Rule Of Probability If E and F are events, then P(E ∩ F) any be found by either of these formulas. P(E ∩ F) = P(F) *P(E│F) or P…
Conditional Probability
Conditional Probability The conditional probability of event E given event F, written P(E│F) , is P(E│F) = , where P(F) ≠ 0. This definition tells us that, for equally…
Properties of Probability
Properties of Probability Let S be a sample space consisting of n distinct outcomes, s1 ,s2 ,………sn. An acceptable probability assignment consist of assigning to each outcome si a number…
Odds
Odds The odds in favor of an event E are defined as the ratio of P(E) to P() , or , P() ≠ 0. If the odds favoring event…
Complement Rule
Complement Rule P(E) = 1 – P() and P() = 1- P(E).
Union Rule For Mutually Exclusive Events
Union Rule For Mutually Exclusive Events For mutually exclusive events E and F, P(E U F) = P(E) + P(F).
Union Rule For Probability
Union Rule For Probability For ant events E and F from a sample space S, P(E U F) = P(E) + P(F) – P(E ∩ F). (Although the union…
Basic Probability Principle
Basic Probability Principle Let S be a sample space of equally likely outcomes, and let event E be a subset of S. Then the propability that event E occurs is…
Recent Comments