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If three, standard, 6-faced dice are rolled, what is the probability that the sum of the face up integers is 18?

 
 Aug 2, 2022
 #1
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How many ways can you roll a sum of 18 with 3 dice?

 

How many ways can you roll the 3 dice? 

 
 Aug 2, 2022
 #2
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There are 6 possible outcomes for each dice, so in every throw You have 6 x 6 x 6 = 216 possible outcomes.

There is only one way the sum of three dice can become 18, that is if they all turn up as 6.

 

So the probability of getting 18 as a sum in just one throw is \(\frac{1}{216} = 0,00462962962962963 \approx 0.0046\)

 
 Aug 3, 2022

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