STAT 100 Lecture Notes - Lecture 8: Conditional Probability, Fair Coin
Document Summary
Something has worked 9 out of 10 times so there is a 90% chance that it"ll work next time. Getting a tail on a coin flip or a 6 when you roll a die. Classical: set of totally possible outcomes from which a set number can occur. Law of large numbers: you flip a fair coin 10,000 times so you would expect about 5,000 tails. Law of small numbers: you flip a fair coin 5 times getting 5 heads. Hthhth (both are equally as likely to occur) Complement: the outcomes not in the outcome event of interest. If interested in a 6 when rolling a die, complement is not a 6 or, 1-5. If interested in passing a class, the complement is failing the class. Intersection of events: where outcomes of interest are shared between events. One event is getting an even number when we roll a die (2, 4, 6). Second event is getting greater than a 3 (4,5,6).