–
Un anumit simbol de exect doua oriAparate de sloturi cu 3 role
2. Cazul B – numere diferite de stopuri si distributii diferite de simboluri pe role
2.3
Evenimentul –
Un anumit simbol de exect doua ori
Probabilitatea lui
este
,
unde 
sunt
probabilitatile de baza ale aparitiei acelui simbol pe role respectiv.
In cazul particular in care doua din cele trei role au acelasi numar de stopuri
si aceleasi distributii de simboluri, probabilitatea evenimentului este
,
unde 
este
probabilitatea de baza a aparitiei acelui simbol pe una din cele doua role
similare, iar 
este
probabilitatea de baza a aparitiei acelui simbol pe ce-a de-a treia rola.
Aceasta formula particulara genereaza urmatoarele tabele de valori, unde
valorile probabilitatilor de baza sunt listate cu increment de 0.005, de la
0.005 la 0.100, iar fiecare tabel listeaza sapte valori ale lui
.
Tabele de valori ale probabilitatii de aparitie a unui anumit simbol de doua ori pe o linie de castig
Tabel 1:
de
la
0.005 la 0.035
|
|
0.005 |
0.010 |
0.015 |
0.020 |
0.025 |
0.030 |
0.035 |
|
|
|||||||
|
0.005 |
0.000074625 |
0.00012425 |
0.000173875 |
0.0002235 |
0.000273125 |
0.00032275 |
0.000372375 |
|
0.01 |
0.0001985 |
0.000297 |
0.0003955 |
0.000494 |
0.0005925 |
0.000691 |
0.0007895 |
|
0.015 |
0.000371625 |
0.00051825 |
0.000664875 |
0.0008115 |
0.000958125 |
0.00110475 |
0.001251375 |
|
0.02 |
0.000594 |
0.000788 |
0.000982 |
0.001176 |
0.00137 |
0.001564 |
0.001758 |
|
0.025 |
0.000865625 |
0.00110625 |
0.001346875 |
0.0015875 |
0.001828125 |
0.00206875 |
0.002309375 |
|
0.03 |
0.0011865 |
0.001473 |
0.0017595 |
0.002046 |
0.0023325 |
0.002619 |
0.0029055 |
|
0.035 |
0.001556625 |
0.00188825 |
0.002219875 |
0.0025515 |
0.002883125 |
0.00321475 |
0.003546375 |
|
0.04 |
0.001976 |
0.002352 |
0.002728 |
0.003104 |
0.00348 |
0.003856 |
0.004232 |
|
0.045 |
0.002444625 |
0.00286425 |
0.003283875 |
0.0037035 |
0.004123125 |
0.00454275 |
0.004962375 |
|
0.05 |
0.0029625 |
0.003425 |
0.0038875 |
0.00435 |
0.0048125 |
0.005275 |
0.0057375 |
|
0.055 |
0.003529625 |
0.00403425 |
0.004538875 |
0.0050435 |
0.005548125 |
0.00605275 |
0.006557375 |
|
0.06 |
0.004146 |
0.004692 |
0.005238 |
0.005784 |
0.00633 |
0.006876 |
0.007422 |
|
0.065 |
0.004811625 |
0.00539825 |
0.005984875 |
0.0065715 |
0.007158125 |
0.00774475 |
0.008331375 |
|
0.07 |
0.0055265 |
0.006153 |
0.0067795 |
0.007406 |
0.0080325 |
0.008659 |
0.0092855 |
|
0.075 |
0.006290625 |
0.00695625 |
0.007621875 |
0.0082875 |
0.008953125 |
0.00961875 |
0.010284375 |
|
0.08 |
0.007104 |
0.007808 |
0.008512 |
0.009216 |
0.00992 |
0.010624 |
0.011328 |
|
0.085 |
0.007966625 |
0.00870825 |
0.009449875 |
0.0101915 |
0.010933125 |
0.01167475 |
0.012416375 |
|
0.09 |
0.0088785 |
0.009657 |
0.0104355 |
0.011214 |
0.0119925 |
0.012771 |
0.0135495 |
|
0.095 |
0.009839625 |
0.01065425 |
0.011468875 |
0.0122835 |
0.013098125 |
0.01391275 |
0.014727375 |
|
0.1 |
0.01085 |
0.0117 |
0.01255 |
0.0134 |
0.01425 |
0.0151 |
0.01595 |
Tabel 2:
de
la
0.040 la 0.070
|
|
0.040 |
0.045 |
0.050 |
0.055 |
0.060 |
0.065 |
0.070 |
|
|
|||||||
|
0.005 |
0.000422 |
0.000471625 |
0.00052125 |
0.000570875 |
0.0006205 |
0.000670125 |
0.00071975 |
|
0.01 |
0.000888 |
0.0009865 |
0.001085 |
0.0011835 |
0.001282 |
0.0013805 |
0.001479 |
|
0.015 |
0.001398 |
0.001544625 |
0.00169125 |
0.001837875 |
0.0019845 |
0.002131125 |
0.00227775 |
|
0.02 |
0.001952 |
0.002146 |
0.00234 |
0.002534 |
0.002728 |
0.002922 |
0.003116 |
|
0.025 |
0.00255 |
0.002790625 |
0.00303125 |
0.003271875 |
0.0035125 |
0.003753125 |
0.00399375 |
|
0.03 |
0.003192 |
0.0034785 |
0.003765 |
0.0040515 |
0.004338 |
0.0046245 |
0.004911 |
|
0.035 |
0.003878 |
0.004209625 |
0.00454125 |
0.004872875 |
0.0052045 |
0.005536125 |
0.00586775 |
|
0.04 |
0.004608 |
0.004984 |
0.00536 |
0.005736 |
0.006112 |
0.006488 |
0.006864 |
|
0.045 |
0.005382 |
0.005801625 |
0.00622125 |
0.006640875 |
0.0070605 |
0.007480125 |
0.00789975 |
|
0.05 |
0.0062 |
0.0066625 |
0.007125 |
0.0075875 |
0.00805 |
0.0085125 |
0.008975 |
|
0.055 |
0.007062 |
0.007566625 |
0.00807125 |
0.008575875 |
0.0090805 |
0.009585125 |
0.01008975 |
|
0.06 |
0.007968 |
0.008514 |
0.00906 |
0.009606 |
0.010152 |
0.010698 |
0.011244 |
|
0.065 |
0.008918 |
0.009504625 |
0.01009125 |
0.010677875 |
0.0112645 |
0.011851125 |
0.01243775 |
|
0.07 |
0.009912 |
0.0105385 |
0.011165 |
0.0117915 |
0.012418 |
0.0130445 |
0.013671 |
|
0.075 |
0.01095 |
0.011615625 |
0.01228125 |
0.012946875 |
0.0136125 |
0.014278125 |
0.01494375 |
|
0.08 |
0.012032 |
0.012736 |
0.01344 |
0.014144 |
0.014848 |
0.015552 |
0.016256 |
|
0.085 |
0.013158 |
0.013899625 |
0.01464125 |
0.015382875 |
0.0161245 |
0.016866125 |
0.01760775 |
|
0.09 |
0.014328 |
0.0151065 |
0.015885 |
0.0166635 |
0.017442 |
0.0182205 |
0.018999 |
|
0.095 |
0.015542 |
0.016356625 |
0.01717125 |
0.017985875 |
0.0188005 |
0.019615125 |
0.02042975 |
|
0.1 |
0.0168 |
0.01765 |
0.0185 |
0.01935 |
0.0202 |
0.02105 |
0.0219 |
Table 3:
de
la
0.075 la 0.105
|
|
0.075 |
0.080 |
0.085 |
0.090 |
0.095 |
0.100 |
0.105 |
|
|
|||||||
|
0.005 |
0.000769375 |
0.000819 |
0.000868625 |
0.00091825 |
0.000967875 |
0.0010175 |
0.001067125 |
|
0.01 |
0.0015775 |
0.001676 |
0.0017745 |
0.001873 |
0.0019715 |
0.00207 |
0.0021685 |
|
0.015 |
0.002424375 |
0.002571 |
0.002717625 |
0.00286425 |
0.003010875 |
0.0031575 |
0.003304125 |
|
0.02 |
0.00331 |
0.003504 |
0.003698 |
0.003892 |
0.004086 |
0.00428 |
0.004474 |
|
0.025 |
0.004234375 |
0.004475 |
0.004715625 |
0.00495625 |
0.005196875 |
0.0054375 |
0.005678125 |
|
0.03 |
0.0051975 |
0.005484 |
0.0057705 |
0.006057 |
0.0063435 |
0.00663 |
0.0069165 |
|
0.035 |
0.006199375 |
0.006531 |
0.006862625 |
0.00719425 |
0.007525875 |
0.0078575 |
0.008189125 |
|
0.04 |
0.00724 |
0.007616 |
0.007992 |
0.008368 |
0.008744 |
0.00912 |
0.009496 |
|
0.045 |
0.008319375 |
0.008739 |
0.009158625 |
0.00957825 |
0.009997875 |
0.0104175 |
0.010837125 |
|
0.05 |
0.0094375 |
0.0099 |
0.0103625 |
0.010825 |
0.0112875 |
0.01175 |
0.0122125 |
|
0.055 |
0.010594375 |
0.011099 |
0.011603625 |
0.01210825 |
0.012612875 |
0.0131175 |
0.013622125 |
|
0.06 |
0.01179 |
0.012336 |
0.012882 |
0.013428 |
0.013974 |
0.01452 |
0.015066 |
|
0.065 |
0.013024375 |
0.013611 |
0.014197625 |
0.01478425 |
0.015370875 |
0.0159575 |
0.016544125 |
|
0.07 |
0.0142975 |
0.014924 |
0.0155505 |
0.016177 |
0.0168035 |
0.01743 |
0.0180565 |
|
0.075 |
0.015609375 |
0.016275 |
0.016940625 |
0.01760625 |
0.018271875 |
0.0189375 |
0.019603125 |
|
0.08 |
0.01696 |
0.017664 |
0.018368 |
0.019072 |
0.019776 |
0.02048 |
0.021184 |
|
0.085 |
0.018349375 |
0.019091 |
0.019832625 |
0.02057425 |
0.021315875 |
0.0220575 |
0.022799125 |
|
0.09 |
0.0197775 |
0.020556 |
0.0213345 |
0.022113 |
0.0228915 |
0.02367 |
0.0244485 |
|
0.095 |
0.021244375 |
0.022059 |
0.022873625 |
0.02368825 |
0.024502875 |
0.0253175 |
0.026132125 |
|
0.1 |
0.02275 |
0.0236 |
0.02445 |
0.0253 |
0.02615 |
0.027 |
0.02785 |
Exemplu de utilizare a tabelelor:
Gasiti probabilitatea de aparitie a doua cirese pe o linie de castig a unui aparat de sloturi cu 3 role, avand 72, 72, 72 stopuri pe rolele 1, 2, 3 si 4, 2, 2 cirese pe aceste role respectiv.
Suntem in cazul particular a doua role similare (2 si 3).
si
.
Urmarim Tabelul 2 si cautam la intersectia coloanei
cu
liniile 
si
.
Gasim probabilitatile 0.003271875 si 0.0040515, care incadreaza probabilitatea
cautata. Putem lua de exemplu 0.0036 = 0.36% ca aproximatie. Pentru un rezultat
exact, trebuie aplicata direct formula care a generat tabelele.