Chapter 6.3.1 Probability Models 4

• General Probability Rules:
  • Any probability is a number between 0 and1. 0≤P(A)≤1
  • All possible outcomes together must have a probability of 1. P(S)= 1
  • Complement Rule:For any event A, P(A^C)= 1 – P(A)
  • Addition Rule: If A and B are disjoint, then P(A or B) = P(A U B) = P(A)+P(B)
  • Multiplication Rule:If events A and B are independent, then P(A and B) = P(A ∩ B) = P(A)P(B)
• The union of any collection of events is the event that is at least one of the events occurs.

Exercises: 6.46-6.53