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This Concept will focus on compound events and the formulas used to determine the probabilities of such events. Compound events are two simple events taken together, usually expressed as A and B. Independent and Dependent Events
we want to know the probability of many events, pairs of events, contingent events,... how to calculate probabilities depends upon I Complements I Mutually exclusive compound events I Nonmutually exclusive events I Statistically independent joint events I Statistically dependent joint events
events for which it may be easier to calculate probabilities. An event that can be described in terms of the union, intersection or complement of events is called a compound event. We get formulas for the probabilities of compound events similar to the counting formulas we encountered earlier. in fact, we can derive these directly
To find the probability of something happening OR something else happening, we ADD their probabilities. If they are not mutually exclusive, we have to use P(A or B) = P(A) + P(B) – P(A and B). If we want to know the probability of something happening AND something else happening, we MULTIPLY their probabilities.
to calculate probabilities. An event that can be described in terms of the union, intersection or complement of event. is called a compound event. We get formulas for the probabilities of compound events similar to the counting formulas we encountered earlier. in fact, we can derive these directly from our counting formulas for .
Definition: The Probability that an event will occur is the relative frequency with which that event can be expected to occur. theoretical. empirical. Definition: Sample space – the set of all possible outcomes of an experiment. We generally denote a sample space with the letter S.
An event is simple if it consists of just a single outcome, and is compound otherwise. In the example, A and B are compound events, while the event ‘heads on every throw’ is simple (as a set, it is {HHH}). If A = {a} is a simple event, then the probability of A is just the probability of the outcome a, and we usually
