Tsu-2011 - ieeetsu

I. kursze, romelzec sami jgufia, jgufxelebis arCevis yvela SesaZlo
variantebis ricxvia n1 n2
n3, sadac n i
-- i -ur jgufSi studentebis
raodenobaa (viyenebT namravlis princips);
II. raodenoba yvela SesaZlo kombinaciebis, ramdennairadac SesaZlebelia
m mgzavri ganvaTavsoT n vagonSi tolia n m (dalagebuli amorCeva
dabrunebiT, sadac M n da n m);
III. m adamianis dabadebis dReebis yvela SesaZlo kombinacia (im pirobiT,
rom TiTeuli dabadebis dRe aris romelime 365 dRidan) tolia
m
365 (saqme gvaqvs amorCevasTan dabrunebiT, amasTanave amorCevebi iTvleba
dalagebulad, sadac M 365 da n m);
IV. raodenoba yvela SesaZlo kombinaciebis, ramdennairadac SesaZlebelia
5 burTi ganvaTavsoT 5 yuTSi, ise rom erT yuTSi iyos erTi bur-
Ti, tolia 5! (namravlis principis Tanaxmad);
V. partiebis raodenoba, romelic unda Sedges n monawilisagan Semdgar
wriul saWadrako turnirSi tolia C n
2
n(
n 1)/
2 (daulagebeli amorCeva
dabrunebis gareSe).
magaliTebis amoxsnis nimuSebi:
magaliTi 1. vipovoT albaToba imisa, rom simetriuli monetis ori
damoukidebeli agdebisas erTjer mainc mova gerbi.
amoxsna. am SemTxvevaSi ={gg, gs, sg, ss}; P {gg} P {gs}
= P {sg}
= P { ss}
1/
4; A={gg, gs, sg} da P ( A)
3/ 4.
magaliTi 2 (“bednier” bileTebze). 25 sagamocdo bileTidan 5 “bednieria”,
xolo danarCeni 20 – “ara bednieri”. romel students aqvs “bednieri”
bileTis aRebis meti albaToba: vinc pirveli iRebs bileTs, Tu
vinc meore iRebs bileTs?
amoxsna. avRniSnoT pirveli studentis mier aRebuli bileTis nomeri
i asoTi, xolo meore studentis mier aRebuli bileTis nomeri j aso-
Ti. davuSvaT, rom “bednieri” bileTebis nomrebia: 1, 2, 3, 4, 5. maSin cxadia,
rom {( i,
j) : i,
j 1,2,...,
25, i j}
, | | 2524
600 da bunebrivia CavTvaloT,
rom yvela elementaruli xdomileba tolalbaTuria: P ( i,
j)
1/
600 .
SemoviRoT xdomilebebi:
A{ pirvelma studentma aiRo kargi bileTi },
B { meore studentma aiRo kargi bileTi },
maSin am xdomilebebs aqvT Semdegi saxe:
A {( i.
j) : i 1,...,
5; j 1,...,
25; i j}
da B {( i,
j) : i 1,...,
25; j 1,...,
5; i j}
.
advili dasanaxia, rom | A | |
B | 524
120
. amitom albaTobis klasikuri
ganmartebis Tanaxmad:
120 1
P( A) P( B)
.
600 5
e. i. orive students aqvs kargi bileTis aRebis erTi da igive albaToba.
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