Un probabiliste ouvre la porte au crime, en accordant ` a l’autorit´ e les pr´ erogatives de la certitude, ` a l’opinion la s´ ecurit´ e qui n’appar- tient qu’` a la bonne conscience. Jeu de Penney

Pile ou Face Jeu de Penney

Pile ou Face et au-del` a... Jeu de Penney

Pile ou Face et au-del` a... P,P,F Ouais ! Jeu de Penney

Pile ou Face et au-del` a... P,P,F Ouais ! F,P,P Rhˆ oˆ oˆ o ! Jeu de Penney

P,P,P, P,P,F Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P F,P,P F,P,F,F,P,F,F, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P F,P,P F,P,F,F,P,F,F, F,P,P P, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P F,P,P F,P,F,F,P,F,F, F,P,P P, F,P,P F,F,F,P,F,P,F,P,F,P,F, F,P,F,F,F,P,F,P,F,F,P, F,F, F,P,P Jeu de Penney

P,P,P, P,P,F P,F,P,F, F,P,P F,F,F,F,F,P,F,F, F,P,P F,P,F,F,F,P,F,F, F,P,P F,P,P F,P,F,F,P,F,F, F,P,P P, F,P,P F,F,F,P,F,P,F,P,F,P,F, F,P,F,F,F,P,F,P,F,F,P, F,F, F,P,P F,P,P P,F,F,F,P,F,P, F,P,P P,P,F F,P,P P,P,P,P, P,P,F F,F,F,F,F,F, F,P,P F,P, F,P,P P,F,F,F,P,F,P, F,P,P Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! F Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! P F Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! P P F Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! P F P F Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! P F F P P F Jeu de Penney

FP PF FF PP FPP, rhˆ oˆ oˆ o! PPF, ouais! P F F P F P P F Jeu de Penney

Et si vous choisissiez le motif victorieux FPP ? Jeu de Penney

Et si vous choisissiez le motif victorieux FPP ? Alors, je choisirais FFP ! Jeu de Penney

FP PF FF PP FPP, ouais! Jeu de Penney

FP PF FF PP FPP, ouais! FFP, rhˆ oˆ oˆ o! Jeu de Penney

FP PF FF PP FPP, ouais! FFP, rhˆ oˆ oˆ o! P F F P F P P F Jeu de Penney

PPF FPP 3/4 Jeu de Penney

PPF FPP FFP 3/4 2/3 Jeu de Penney

PPF FPP FFP PFF 3/4 2/3 3/4 Jeu de Penney

PPF FPP FFP PFF 3/4 2/3 3/4 2/3 Jeu de Penney

Jeu de Penney

GGUUAAAAAAGGAGAAGGAGAGUGAAACCCAUGAAAAAAAUAAUG CUAGUUUUUAUUACACUUAUAUUAGUUAGUCUACCAAUUGCGCAA CAAACUGAAGCAAAGGAUGAACAUGUUGCUUUCGGUUCUGAAGAU AUCGAAAAUACACUUGCAAAAAUGGAUGAUGGUCAACUUGAUGGC CUAGCAUUCGGUGCUAUUCAACUUGACGGCGACGGCAACAUUCUU CAAUACAACGCGGCAGAAGGAGAUAUUACUGGUCGUGAUCCAAAA CAAGUAAUUGGAAAAAACUUUUUCAAAGACGUUGCUCCAGGGACC GAUAGCCCUGAAUUCUAUGGAAAAUUUAAAGAAGGUGUAGCUUCU GGCAAUCUAAACACUAUGUUCGAAUGGAUGAUCCCAACAUCACGU GGACCAACAAAAGUUAAAGUUCAUAUGAAAAAAGCACUAAGCGGA GAUUCAUAUUGGGUUUUUGUUAAACGUGUAUAGUCGACCUCGAGG GGGGGCCCGGUACCAGCUU Jeu de Penney

GGUUAAAAAAGGAGAAGGAGAGUGAAACCCAUGAAAAAAAUAAUG CUAGUUUUUAUUACACUUAUAUUAGUUAGUCUACCAAUUGCGCAA CAAACUGAAGCAAAGGAUGAACAUGUUGCUUUCGGUUCUGAAGAU AUCGAAAAUACACUUGCAAAAAUGGAUGAUGGUCAACUUGAUGGC CUAGCAUUCGGUGCUAUUCAACUUGACGGCGACGGCAACAUUCUU CAAUACAACGCGGCAGAAGGAGAUAUUACUGGUCGUGAUCCAAAA CAAGUAAUUGGAAAAAACUUUUUCAAAGACGUUGCUCCAGGGACC GAUAGCCCUGAAUUCUAUGGAAAAUUUAAAGAAGGUGUAGCUUCU GGCAAUCUAAACACUAUGUUCGAAUGGAUGAUCCCAACAUCACGU GGACCAACAAAAGUUAAAGUUCAUAUGAAAAAAGCACUAAGCGGA GAUUCAUAUUGGGUUUUUGUUAAACGUGUAUAGUCGACCUCGAGG GGGGGCCCGGUACCAGCUU AUG (start) versus UAG (stop) Jeu de Penney

R´ esum´ e Le jeu est markovien. Une formule permet de calculer les probabilit´ es. Cela fournit un exemple de non-transitivit´ e. Cela peut se g´ en´ eraliser ` a des situations scientifiques plus concr` etes. Jeu de Penney