, Basics
Probability
>
-
probability :
>
-
Likelihood or chance that a particular event will occur -
> is
proportion fraction whose value from O to
I
a or
ranges
-
↳ an event that has no chance of
occurring has a
probability of
o
↳ while an event that is sure to occur has
probability of 1
about information the
probability of event
might differ
probability
>
-
. an
is
available into that
from person to person based on the
they have
↳ that events will into
the
probability occur
may change as -
accrues
or evolves
.
3 Bask components of
probability theorem :
Experiment
2) Elementary outcome
3) sample space (S)
1) Experiment
>
-
any process that produces a
single outcome whose result cannot be
predicted with
certainty
.
i) rolling a die
card draw
ii) A 3 .
,2) Elementary outcomes
outcome of experiment
unique
> a an
-
2
elementary outcomes
mutually exclusive
>
are
-
i) rolling 3 die loss
a in a
single
ii) picking an ace of spades
.
Event
3)
set of of interest
>
elementary outcomes
-
I) one or more heads in a 2 coin toss
ii) the sum of dices is greater than 7
.
7) sample space (s)
>
-
set of all possible elementary outcomes of an experiment
(Mutually exclusive and collectively exhaustive) .
consists of from a box
Example : an experiment drawing one marble
of
that contains a mixture red , yellow and green marbles
>
-
sample space-s = [red ,
yellow ,
green 3
↳ unique color combinations
.
, suppose you are
only interested in the no , of red marbles drawn :
S = 20 .
13
↓ Y
of
outcomes
drawing
outcomes of
red
.
drawing yellow
and
green
R 72
R OR RY RG
YR Y +G
Y
GR GY GG
E
i) S :
Err , ry , ug ,
yr , yy ,
yg ,
gr , gy , gg
3
ii) S = 30 ,
1
,
23
Probability
>
-
probability :
>
-
Likelihood or chance that a particular event will occur -
> is
proportion fraction whose value from O to
I
a or
ranges
-
↳ an event that has no chance of
occurring has a
probability of
o
↳ while an event that is sure to occur has
probability of 1
about information the
probability of event
might differ
probability
>
-
. an
is
available into that
from person to person based on the
they have
↳ that events will into
the
probability occur
may change as -
accrues
or evolves
.
3 Bask components of
probability theorem :
Experiment
2) Elementary outcome
3) sample space (S)
1) Experiment
>
-
any process that produces a
single outcome whose result cannot be
predicted with
certainty
.
i) rolling a die
card draw
ii) A 3 .
,2) Elementary outcomes
outcome of experiment
unique
> a an
-
2
elementary outcomes
mutually exclusive
>
are
-
i) rolling 3 die loss
a in a
single
ii) picking an ace of spades
.
Event
3)
set of of interest
>
elementary outcomes
-
I) one or more heads in a 2 coin toss
ii) the sum of dices is greater than 7
.
7) sample space (s)
>
-
set of all possible elementary outcomes of an experiment
(Mutually exclusive and collectively exhaustive) .
consists of from a box
Example : an experiment drawing one marble
of
that contains a mixture red , yellow and green marbles
>
-
sample space-s = [red ,
yellow ,
green 3
↳ unique color combinations
.
, suppose you are
only interested in the no , of red marbles drawn :
S = 20 .
13
↓ Y
of
outcomes
drawing
outcomes of
red
.
drawing yellow
and
green
R 72
R OR RY RG
YR Y +G
Y
GR GY GG
E
i) S :
Err , ry , ug ,
yr , yy ,
yg ,
gr , gy , gg
3
ii) S = 30 ,
1
,
23
