============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 1 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .15385E+00 .84615E+00 .47778E-01 ==> PROB % = 4.78 % [ PP,QQ ] <====> 1.538462E-001 8.461539E-001 [ NZ0 ] <====> 7 [ QQ ^^ MTC ] <====> 3.105599E-001 [ PP x QQ ^^ NZ0 ] <====> 4.777844E-002 ============================================================================== There exist : 10 [ 1 ] " s and 62 [ 0 ] " s over 72 Trials , with 7 RHS Trailing [ 0 ]"s and 65 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 10 / 65 = 1 / KCT = 1 / 6.50 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 1 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .47778E-01 <====> 4.78 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 6, 66 ] Probablity( E ) = P = .47778E-01 = 4.78 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 38 <=====> 1 : 19 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 38 : 2 <=====> 19 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 38 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 3 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .98592E-01 .90141E+00 .88871E-01 ==> PROB % = 8.89 % [ PP,QQ ] <====> 9.859155E-002 9.014084E-001 [ NZ0 ] <====> 1 [ QQ ^^ MTC ] <====> 9.014084E-001 [ PP x QQ ^^ NZ0 ] <====> 8.887126E-002 ============================================================================== There exist : 7 [ 1 ] " s and 65 [ 0 ] " s over 72 Trials , with 1 RHS Trailing [ 0 ]"s and 71 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 7 / 71 = 1 / KCT = 1 / 10.14 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 2 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .88871E-01 <====> 8.89 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 0, 72 ] Probablity( E ) = P = .88871E-01 = 8.89 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 20 <=====> 1 : 10 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 20 : 2 <=====> 10 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 20 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 5 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .12500E+00 .87500E+00 .42951E-01 ==> PROB % = 4.30 % [ PP,QQ ] <====> 1.250000E-001 8.750000E-001 [ NZ0 ] <====> 8 [ QQ ^^ MTC ] <====> 3.436089E-001 [ PP x QQ ^^ NZ0 ] <====> 4.295111E-002 ============================================================================== There exist : 8 [ 1 ] " s and 64 [ 0 ] " s over 72 Trials , with 8 RHS Trailing [ 0 ]"s and 64 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 8 / 64 = 1 / KCT = 1 / 8.00 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 3 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .42951E-01 <====> 4.30 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 7, 65 ] Probablity( E ) = P = .42951E-01 = 4.30 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 44 <=====> 1 : 22 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 44 : 2 <=====> 22 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 44 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 7 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .17391E+00 .82609E+00 .98041E-01 ==> PROB % = 9.80 % [ PP,QQ ] <====> 1.739130E-001 8.260869E-001 [ NZ0 ] <====> 3 [ QQ ^^ MTC ] <====> 5.637380E-001 [ PP x QQ ^^ NZ0 ] <====> 9.804139E-002 ============================================================================== There exist : 12 [ 1 ] " s and 60 [ 0 ] " s over 72 Trials , with 3 RHS Trailing [ 0 ]"s and 69 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 12 / 69 = 1 / KCT = 1 / 5.75 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 4 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .98041E-01 <====> 9.80 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 2, 70 ] Probablity( E ) = P = .98041E-01 = 9.80 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 18 <=====> 1 : 9 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 18 : 2 <=====> 9 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 18 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 9 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .27941E+00 .72059E+00 .75334E-01 ==> PROB % = 7.53 % [ PP,QQ ] <====> 2.794118E-001 7.205882E-001 [ NZ0 ] <====> 4 [ QQ ^^ MTC ] <====> 2.696178E-001 [ PP x QQ ^^ NZ0 ] <====> 7.533439E-002 ============================================================================== There exist : 19 [ 1 ] " s and 53 [ 0 ] " s over 72 Trials , with 4 RHS Trailing [ 0 ]"s and 68 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 19 / 68 = 1 / KCT = 1 / 3.58 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 5 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .75334E-01 <====> 7.53 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 3, 69 ] Probablity( E ) = P = .75334E-01 = 7.53 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 24 <=====> 1 : 12 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 24 : 2 <=====> 12 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 24 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 11 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .13889E+00 .86111E+00 .13889E+00 ==> PROB % = 13.89 % [ PP,QQ ] <====> 1.388889E-001 8.611111E-001 [ NZ0 ] <====> 0 [ QQ ^^ MTC ] <====> 1.0000000 [ PP x QQ ^^ NZ0 ] <====> 1.388889E-001 ============================================================================== There exist : 10 [ 1 ] " s and 62 [ 0 ] " s over 72 Trials , with 0 RHS Trailing [ 0 ]"s and 72 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 10 / 72 = 1 / KCT = 1 / 7.20 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 6 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .13889E+00 <====> 13.89 % [ IMAX, MTC-1, JNDX ] <====> [ 72, -1, 73 ] Probablity( E ) = P = .13889E+00 = 13.89 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 12 <=====> 1 : 6 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 12 : 2 <=====> 6 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 12 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 13 ============================================================================== ============================================================================== x x x Utilizing a GEOMETRIC PROBABILITY DISTRIBUTION x x x ============================================================================== (PP,QQ,PROB): .20833E-01 .97917E+00 .12569E-01 ==> PROB % = 1.26 % [ PP,QQ ] <====> 2.083333E-002 9.791667E-001 [ NZ0 ] <====> 24 [ QQ ^^ MTC ] <====> 6.033358E-001 [ PP x QQ ^^ NZ0 ] <====> 1.256950E-002 ============================================================================== There exist : 1 [ 1 ] " s and 71 [ 0 ] " s over 72 Trials , with 24 RHS Trailing [ 0 ]"s and 48 LHS [ 0 or 1 ]"s over 72 Trials ============================================================================== Occurrence Cadence = 1 / 48 = 1 / KCT = 1 / 48.00 where 1 ====> Occurrence of a Specified EVENT and 0 ====> Non-Occurrence of a Specified EVENT ============================================================================== EVENT # 7 ============================================================================== Pr ( EVENT E will OCCUR on the Next Trial ) <====> Pr ( EVENT E will OCCUR on Trial # 73 ) <====> Pr( EVENT E ) = .12569E-01 <====> 1.26 % [ IMAX, MTC-1, JNDX ] <====> [ 72, 23, 49 ] Probablity( E ) = P = .12569E-01 = 1.26 % ============> ODDS in FAVOR of E <=====> M1 : M2 <=====> 2 : 156 <=====> 1 : 78 in FAVOR of E ODDS AGAINST E <=====> M2 : M1 <=====> 156 : 2 <=====> 78 : 1 AGAINST E For Scaled Values of P and ( 1-P ) , GCD( 2 , 156 ) = 2 ============================================================================== Bin Elts. : Values in COL # 1 <==> F(M) = 15 ============================================================================== 13.89 % Bin Elts. : Values in COL # 1 <==> F(M) = 11 9.80 % Bin Elts. : Values in COL # 1 <==> F(M) = 7 8.89 % Bin Elts. : Values in COL # 1 <==> F(M) = 3 7.53 % Bin Elts. : Values in COL # 1 <==> F(M) = 9 4.78 % Bin Elts. : Values in COL # 1 <==> F(M) = 1 4.30 % Bin Elts. : Values in COL # 1 <==> F(M) = 5 2.93 % Bin Elts. : Values in COL # 1 <==> F(M) = 15 1.26 % Bin Elts. : Values in COL # 1 <==> F(M) = 13 ==============================================================================