MATH 377 Study Guide - Final Guide: Sample Space, List Of Poker Hand Categories

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The sample space for an experiment must often be changed when some additional information pertaining to the outcome of the experiment is received. The effect of such information is to reduce the sample space by excluding some outcomes as being impossible which before receiving the information where believed possible. The probabilities associated with such a reduce sample space are called conditional probabilities. The sample space is s = {1,2,3,4,5,6} n(s) = 6. Let a be the event that only 6 occur. If there is a condition that 6 occur only when the die shows an even number of dots. Let b be the event that only even number occur. P(die shows 6 / die shows even numbers) = Ap b = probability of a when b occurred and defined as. Ap b numberof sample po int numberof sample po n a b n b. Dividing and multiplying by original sample space i. e n(s)