Detailed and well-organized notes on Probability from my first year of study, perfect for students looking to grasp the foundational concepts of probabilit y theory. These notes cover key topics, provide clear explanations, and include numerous examples to aid understanding.
Lhit -5-Basis
Basis ef Pro babi lity
Randonm Expeimenti
Cxpiment that an be
supratadanynumh
timesunn
Cnumat the
ainilas
total
Comditon and E s possibla
totalnunbenO putiomes, but the
individual utrome cannot be pTedicted is callad
aTahdom Qxpimant
En - Tossîng coin ’ Satnpu Space =HI1
-Choosing tax d foLEm deck o 52 cards
Rol
Samplu
íng
Spaca ; Css
The Set. ef all possibla sauttomes in the sandor
enpaimnt
Sanpla pofnt Outtome
It A 9ancom dhpei
éventi
the Sub6at Df Sarnplo space
Ex. whan ye mll dce
an ddmbn
Eeetting pimehumbag,
22,3,53
,plimunang
The ements în th S that donot to
tas dtnad auent
Antualy Exchsive Event :
Tuo euants are said tohe mutually eccysive
impossible to happan togethot
kinas mutualy encusive
yhauskv tvent:
Al thepocsubla euent a ss ef a poSi HLe
npeniment Censitute xhaustive evant
it tåeunien al the posesibla ents should
be the Sampl Spale
uhually bacusiu and &uhauive evens
Tr
1 AA thaustive events that bautually nclusi
S ale d mutualy cusie and ene haustive eenk
,2,3,4,s,69
, kit A be the cwint e getting op e no
A2,3.s3
RUnt an Ven no
it cbe the an oddno
eentnt gettlng
AUBUc , 2,3,4, S, b
TA au tie eutomsS hae the Same chonco C
thun the Uent 1S Said to be an
AVent.
an aualy
2Unbiasad dfc are
die thrwn,find probabily that
ii)Th fotal e the nurnbens en the die is 8.
The tatal e thu numbys f he diu is great tfan&
Ansi
1o/3 58
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