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>
<span>Answer: 4*x+3=5+x Explanation: four times a number means 4*x plus three means 4*x+3 is the same as which means = five plus the number which is 5+x </span>