STAT 1000 Lecture Notes - Lecture 24: Sample Space

• School: University of Manitoba
• Department: Statistics
• Course: STAT 1000
• Professor: Mohammad Nadimi

Document Summary

: observing the outcome of the first in no way alters the probability. Two events a and b are independent if and only if. Any probability is a number between 0 and 1, inclusive, i. e. 0 p(a) 1. An event with probability of 0 never occurs. An event with probability of 1 always occurs. The probabilities of all outcomes must add up to one. The probability that an event does not occur is one minus the probability that it does occur. i. e. p (ac ) = 1 p (a). An event that occurs 40% of the time fails to occur 60% of the time. If two events a and b are disjoint (mutually exclusive), then the probability that both occur is zero, i. e. p (a \ b ) = 0. If two events a and b are mutually exclusive, the probability that one or the other.