STAT 1000Q Lecture Notes - Lecture 5: Venn Diagram, Sample Space, Empty Set

• School: UConn
• Department: Statistics
• Course: STAT 1000Q
• Professor: Zhanna Pozdnyakova

Document Summary

Introduction to probability, random experiment, sample space, events, and event operations. Sample space: a list of all possible outcomes (sample events), for a random experiment. Typical problem of probability theory: word description of random experiment, what is the probability of observing certain events. Flip two fair coins (dime and quarter) = word description of random experiment. Sample space: (hh, ht, th, tt) = 4 outcomes, equally likely outcomes. Assign probabilities = , , , = the sum comes out to 1. Event (e) = (1h, 1t), two outcomes favorable to event e, (ht and th). Probability (p (e)) = p(ht) + p(th) = + = . In case of classic probability (equally likely outcomes) , then p(a) = number of outcomes favorable to event a = n(a) number of outcomes in sample space n (s. s) P(1h, 1t) = p(e) = n (e) = 2 = 1 n (s. s) 4 2. P(hh) = n (hh) = 1 n (s. s) 4.