Prove Theorem 3.2(a)(d).

Chapter 5 Probibility: Something that happens by chance; not governed by any rules Probibility Experiment: an experiment with 1) each trial having one single outcome 2) outcomes are uncertain Sample Space: The set of all possible outcomes for a given probability experiment S= set of all possible outcomes x= single outcome Event E= subset of S Tree Diagram Sample Space--> 1st toss either head or tail head HH The sample space S= HH,HT, TH, TT Event: Tossing exactly one head head E= HT, TH 1st toss tail HT head TH tail tail TT 5.2 Defining Probability Relative Frequency 1) in relation to relative frequency Relative Frequency A= event of a probability experiment that we carriA= a k number of times n ex) toss a coin Probability P (head)=0.5 Toss 100 times ex) toss coin 10 times event A= Head X 2 P(head)= 0.2 0 0 0 0 0 0