ExperimentSome process that occurs with well defined outcomes.OutcomeA result from a single trial of the experiment.Eventa collection of one or more outcomes.Sample SpaceA collection of all of the outcomes of an experiment.P(E)the probability of E happeningn(E)the number of elements in EProbability answers should be given as...fractions or decimalsProbability questions that ask for percent or chance should be given as...percentagesTheoretical Probability<span>What we expect the Probability of an event to be. ie. each number on a cube should have a 1/6 probability of occurring</span>Empirical Probability<span>The Probability of an event after we run an experiment. ie. each number on a cube should have a 1/6 probability of occurring, but we could roll a cube many times and may not get a certain number 1/6 of the time.</span>ORone or the other or both; it's ok to get just oneANDHave to get BOTHTree Diagram<span>can be drawn vertically(down) or horizontally(side ways) *You can count the ends of the branches to get the number in the sample space(outcomes)</span>How to find the number of items when you know the probability it will occur..<span>(# of items)(Probability it will occur) ie. If the probability a person is left handed is 1/10, how many people would you expect to be left handed in a room with 360 people? ANSWER: (360)(1/10) = 36</span>Roster Form<span>List the elements in brackets ie. set A is a set of all even numbers from 1-10; A = {2,4,6,8,10}</span>Subseta set whose elements are contained in another setComplement<span>All the elements in a set that are not in the subset set S; S = {1,2,3,4,5,6,7,8,9,10} subset A; A = {2,4,6,8,10} complement of A; A' = {1,3,5,7,9} Can be labeled with an ' OR another letter.</span>Complements Probabilities<span>If A and B are complements then P(A) + P(B) = 1 P(A) + P(A') = 1 P(A) + P(NOT A) = 1</span><span> </span>
When you add all the angles of a triangle together, you will always get 180 degrees. Since we know the measures of two angles (a right angle is 90 degrees) we can just subtract those two from 180 180 - 90 - 50 = 40 degrees