MAT 117 Chapter Notes - Chapter 4: Sample Space, Fair Coin, Mutual Exclusivity

• School: Pace University
• Department: Mathematics
• Course: MAT 117
• Professor: Vinh Ly

Document Summary

Complement rule: states that if e represents any event & e*c represents the complement of e, then p(e^c) = 1 -p(e) Additional rule: states that the prob. that a or b occurs, or that at least one of these events occurs; when you add a & b, you add the intersection (middle circle) twice. P(a or b) = p(a) + p(b) - p(a b) Ex: sarah feels that she has a 75% chance of getting an a in stats & a 55% chance of getting an a in managerial economics. Let p(e) represent the prob. that sarah gets an a in stats, p(f) represent prob. that she gets an a in managerial economics. So p(e : is the prob. that she gets an a in both courses. Also, we have p(e : is the prob. that she gets an a in at least one of these courses.