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KCC's Quizzes AQQ287 about throwing 3 dice

1. Quote of the week:"The first five days after the wekend are always the hardest" - unknown

Source: Happy Weekend - Frohes Wochenende - Notiz mit einer Kaffeetasse - Kostenloses Foto auf ccnull.de / ccby.de

2 Our new challenge AQQ287 about throwing 3 dice

Source: upload.wikimedia.org/.../640px-160327_White_dice_09.jpg

The game consists to throw 3 dice and observe the sum S of the 3 top faces. We note P(S) the probability to obtain a sum S.

Questions:

1. For which value of S, the probability P(S) is maximum?

(Example: for 2 dice, S=7 occurs 6 times giving P(7)=0.167 which is the maximum we can get)

 2. Same question as above but in a game with n number of dice.

Good luck and try to be among the first ones!

Also, please forward those quizzes to friends or colleagues who might be interested on such brainstorming!

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