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interests / rec.puzzles / (2 dice, 3 dice) -- a Simple Fraction

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o (2 dice, 3 dice) -- a Simple Fractionhenh...@gmail.com

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(2 dice, 3 dice) -- a Simple Fraction

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Subject: (2 dice, 3 dice) -- a Simple Fraction
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 by: henh...@gmail.com - Tue, 4 Oct 2022 22:29 UTC

i throw 2 dice, (let P = Product of the numbers i get)
What is the probability that...
--- P is a multiple of 5 ?
--- P is a multiple of 10 ?

(the same thing with 3 dice)

pls tell me about another (nice) problem about Coins or Dice.

(partial Spoiler(s))

--- P is a multiple of 10 ? ---------------------

the prob. for both (2 dice, 3 dice) cases are
(surprisingly) Simple Fractions like 1/2, or 1/4 etc.

So maybe there's a different (neat) way to look at
the problem to get at these Simple Fractions directly ( very quickly ) ?

any ideas? or do you know of other problems
whose answers turn out to be Surprisingly simple values (numbers) ?

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