We consider 7 bags each containing 6 balls. Each ball is numbered from 1 to 6....

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We consider 7 bags each containing 6 balls. Each ball isnumbered from 1 to 6. The first 6 bags contain 6 balls where allnumbers from 1 to 6 are present. The 7th bag contains 6 balls thatall have the same number equal to 6. You take a bag randomly. Youshoot a ball and put it back in its bag. You shoot another ball andyou put it back in his bag and you observe that the two balls havethe number 6. What is the probability of choosing the 7th bag?
On considère 7 sacs contenant chacun 6 balles. Chaque balle estnumérotée de 1 à 6. Les 6 premiers sacs contiennent 6 balles oùtous les numéros de 1 à 6 sont présents. Le 7-ième sac contient 6balles qui ont toutes le même numéro égal à 6. Vous prenez un sacau hasard. Vous tirez une balle et vous la replacez dans son sac.Vous tirez une autre balle et vous la replacez dans son sac et vousobservez que les deux balles ont le numéro 6. Quelle est laprobabilité de choisir le 7-ième sac ?

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