AIOU SOLVED ASSIGNMENT 1 CODE 1429 BUSINESS MATHEMATICS.
EVENTS IN SAMPLE SPACE
In probability theory, the sample space of an event or
random trial is the set of all possible outcomes or results of that event. A sample
space is usually denoted using set notation, and the possible outcomes are
listed as elements in the set. It is common to refer to a sample space by the
labels S, Ω,
or U (for “Universal set”).
For example, if the experiment is tossing a coin, the sample space
is typically the set {head, tail}. For tossing two coins, the corresponding
sample space would be {[head, head,], [head, tail], [tail, head], [tail,
tail]}. For tossing a single six-sided die, the typical sample space is
{1,2,3,4,5,6} (in which the result of interest is the number of pips facing
up).
CLASSIFICATION:-
ELEMENTARY EVENT: an elementary event is every one of the elements
which forms the sample space. For example, if a die is thrown, an elementary
event would be a 4.
COMPOUNT EVENT:- a compound event is an subset of the sample
space. For example, if a die is thrown, a compound event would be an even
number or a multiple of 3.
SURE EVENT:- the sure event, S, is formed by all possible results
of the sample space. For example, rolling two dice and obtaining a score of
less than 13.
IMPOSSIBLE EVENT:- the impossible event, Ø, does not have an
element. For example rolling a die and obtaining a score of 7.
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