toujours en retard!

Il s'agit ici d'étudier le retard dans les séries pile ou face d'une pièce équilibrée.
Et les conséquences de ce retard:
-énervement, précipitation ne seront pas étudiés ici
-le rattrapage du retard en terme proportionnel avec les probas qui évoluent vers le 1/2 plus on avance dans la série,
ne sera pas étudié, car il y a consensus
-par contre on entend parfois chez les débutants, mais aussi chez UN professionnel pas débutant, Pierre pour ne pas le nommer,
on entend que le retard influe sur ce qu'il reste à advenir

Pour un débutant c'est tout à fait normal et intuitif de dire , j'ai fait 5 fois Face, il est peu probable que Face sorte de nouveau
en raisonnant faussement sur proba de 6 face, alors que le raisonnement est face sachant 5 face
en raisonnant sur une série tres grande, si je suis en retard de pile, comme à la fin j'aurai "autant" de P et F, c'est que pile va sortir plus.
Il s'agit de choses tout à fait normal pour un débutant.
Et il y aura à expliciter tout cela à un débutant.

C'est plus surprenant de la part d'un ancien comme Pierre. Je parle ancien comme frequentation ancienne à ce problème.
C'est encore plus surprenant lorsque cette histoire du passé qui modifie les probas à venir contredit le cours en PDF de Pierre.
Tout lecteur du PDF de Pierre saura déjouer ce "paradoxe", meme s'il n'aura pas encore l'explication par la notion que P/F tend vers 1 n'est pas P-F tend vers 0.

Donc Pierre nous parle souvent de tests qui montrent que le retard, change les probas à venir.
On nous parle souvent d'une confirmation de LeJeu.
mais on ne sait pas bien quelles études montrent un gain de 2%

Je propose donc ici d'étudier les effets du retard sur plusieurs séries de pile ou face.
Donc il s'agit pour chaque série de calculer le P-F
et d'étudier les gains
de joueur A qui mise à chaque fois la valeur en retard
de joueur B qui mise à chaque fois l'avance
de joueur C qui mise à chaque fois Face

On fera d'autres calculs si le fil tourne bien.
Restons simple pour le moment.
Et voyons ce que l'on trouve.

série1:
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1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1
1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1
0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1
0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0
1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1
1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1
1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0
1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0
0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1
1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0
1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0
1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1
0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0
0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0
1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0
0 1 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 0
0 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 0 0
1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0
1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1
0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0
1 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1
0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1
1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1
0 1 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0
0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1
1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1
0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1
0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0
0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1
1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1
0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1
0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0
1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1
0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 1
1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0
0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0
1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1
0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0
1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0
0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0
1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1
1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0
1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 1
0 1 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0
1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1
1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1
0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0
0 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0
0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0
0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1
0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1
1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0
0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0
0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0
0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 0
0 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1
0 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0
0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1
0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1
0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1
1 1 0 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1
1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0
0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1
1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1
1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1
1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1
1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0
1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1
1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 0
0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 0
1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0
0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0
1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1
0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0
1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1
0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0
1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0
0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0
0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 0 0
0 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0
1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0
0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 1
0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0
0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 0
1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1
1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0
0 1 0 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1
0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1
1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1
1 1 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0
0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0
Timestamp: 2019-12-16 10:38:26 UTC

série 9
Here are your random numbers:
1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0
1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 1
1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0
0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1
0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1
0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1
1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1
1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1
0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1
1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1
1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0
1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 1
0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0
1 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1
1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0
0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1
1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 0
0 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0
0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1
1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 0 1 0
0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0
1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0
1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0
0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1
0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0
1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0
0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0
1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1
0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0
0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0
0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1
1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0
0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0
1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0
0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0
0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 0
1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0
0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0
1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1
1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 1 0 1
1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1
0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 1 1 0
1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0
1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0
0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0
0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0
0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0
0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0
0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0
0 0 0 1 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1
0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1
0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1
1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1
0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1
0 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0
0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 1 1
0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1
0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1
1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1
0 0 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1
1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0
1 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0
1 1 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1
1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0
1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1
1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1
0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0
0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0
1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1
1 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1
0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1
0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0
1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1
1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1
1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1
1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0
0 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1
1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0
1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1
1 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1
0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 1 1 0 1
0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1
1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1
1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0
0 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1
1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 1
1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1
1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1
1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0
0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1
0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1
0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1
1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0
1 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0
0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 0
0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 1
0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0
1 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1
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Timestamp: 2019-12-16 10:43:26 UTC

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Timestamp: 2019-12-16 10:46:40 UTC

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Timestamp: 2019-12-16 10:49:58 UTC

Oui, ce sera une bonne occasion de vérifier ce générateur.

Bonjour Beagle,
Ouf, j'ai fini par y arriver.
J'ai exécuté 5 fichiers. Pour l'instant, je me suis arrêté là.
En fait j'ai un gros doute sur la qualité de ce générateur.
Je veux bien traiter les 20 fichiers, à la condition qu'on aille jusqu'au bout, cela signifie
1- se mettre d'accord sur le critère de test
2- faire le test sur le traitement de 20 fichiers créés avec Borland
3- vérifier la répartition des écarts et la comparer aux résultats théoriques
4- en tirer les conclusions auprès de l'éditeur de ce générateur.

Ceci est ma condition pour traiter les 16 fichiers restant.

N'oublie pas que tu dois me dire où je me contredis dans mon PDF.

Pour le PDF c'est simple tu parles d'indépendance, relis les phrases qui s'y rapportent.

Pour le test
on "joue apr7s chaque F-P:
joueur A le retard
joueur B l'avance
joueur C il joue toujours Face

au fait précise dans quel sens tu lis les données.
je crois que tu lis les rangées.
certains logiciels comme Matlab numérote l'ordre par les colonnes, il descend la colonne 1 puis fait la colonne 2, enfin en ce qui concerne le k iem élément d'une matrice .

Oui, j'ai suivi exactement ce que tu m'as dit :
A joue le plus en retard, B joue le plus en avance, donc A + B = 10000, enfin C joue toujours face.
Je lis une liste continue qui pour des problème des présentation retourne à la ligne tous les 40 valeurs.
Matlab fait comme il veut.
Voilà le critère.
Cette liste est constituée de suites de N pile et de N face.
La longueur de ces liste est 1, 2, 3 ... 15, leur nombre théorique est 1250, 625, 312, ... , 0
Donc pour faire le choix de pile ou face, je compare le nombre de ces listes avec le nombre théorique.