SETS

SETS

WEEK 6: You are expected to illustrate events, union and intersection of events.

WHAT IS A SET?

Sets are represented as a collection of well-defined objects or elements and it does not change from person to person. A set is represented by a capital letter.

Example: A set of vowels in the English Alphabet.

Let's say "A" is the name of this set, so,

A = {a,e,i,o,u}

SAMPLE SPACE

The collection of all possible outcomes. The totality of the set.

PROBABILITY OF AN EVENT (n)

set of outcomes of an experiment.

TYPES OF EVENTS IN PROBABILITY

• IMPOSSIBLE EVENT (NULL) - cannot happen, denoted by { }

• SURE EVENT - occurs always, all possible outcomes in an event.

• SIMPLE OR ELEMENTARY EVENT - only one element

• COMPLEMENTARY EVENT - set of all elements in S which are not in A. Denoted by A'