Question

Describe an event, in your own words, and how would you explain an intersection and complement to someone who's never read the chapter introduction to Probability.    Remember your reader has never read about these concepts, how can you explain it to them, provide examples.   The examples can't be from the textbook, create your own.

Answer 1

Event:

It is defined as collection of outcomes of an experiment.

Example:

Two coins are tossed simultaneously, then set of all possible outcomes is called sample space ()

= { HH, HT, TH, TT }

Event A: Getting a head and a tail

A = { HT, TH }

Event B : Getting at least one head.

B ={ HH, HT, TH }

Intersection of the eveths:

Intersection is the collection of the outcomes which are common in both the events.

A intersection B is denoted by (A B).

Consider above two events A and B, its interaction is given as

A B = { HT, TH }

Because HT and TH are present in both the events A and B.

Complement of an event:

Complement of an event is the collection of outcomes which are in the sample space but not in the event.

Example

Consider above event B its complement is denoted by B' and it is given by

B' = { TT }

See TT outcome is not in B but it is present in the sample space.