Dice combinations/probability for die with 0 or 1 on each side

mad3

Board Regular
Joined
Sep 15, 2009
Messages
130
Office Version
  1. 365
Platform
  1. Windows
I have four six sided dice with 0 or 1 as result. How do I determine probability of each result. The result totals would be zero - all four dice come up blank. 1, 2, 3, 4.

Each die has three blank sides and three sides with a single dot.
 

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Feels like this is homework to me. Have you tried to Google the probability of rolling normal dice and extrapolating the answer from there.

Although Excel would be a good place to do the calculations, I don't really see any reference to Excel in your question.
 
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I could be wrong, but each die has only 2 possible values so the possibility for each total should be 2x2x2x2 = 16
 
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Probability for totals:

0 = 1/16 ({0,0,0,0})
1 = 4/16 = 1/4 ({1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1})
2 = 6/16 = 3/8 ({1,1,0,0},{1,0,1,0},{1,0,0,1},{0,1,1,0},{0,1,0,1},{0,0,1,1})
3 = 4/16 = 1/4 ({1,1,1,0},{1,1,0,1},{1,0,1,1},{0,1,1,1})
4 = 1/16 ({1,1,1,1})

WBD
 
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Probability for totals:

0 = 1/16 ({0,0,0,0})
1 = 4/16 = 1/4 ({1,0,0,0},{0,1,0,0},{0,0,1,0},{0,0,0,1})
2 = 6/16 = 3/8 ({1,1,0,0},{1,0,1,0},{1,0,0,1},{0,1,1,0},{0,1,0,1},{0,0,1,1})
3 = 4/16 = 1/4 ({1,1,1,0},{1,1,0,1},{1,0,1,1},{0,1,1,1})
4 = 1/16 ({1,1,1,1})

WBD

I think my mistake was overthinking the six sides. When, in reality, only two result outcomes on each die. Now, I can plug the percentages into my spreadsheet for calculation the various results.

Thanks!
 
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No, not home work. I am looking to utilize a set of die and plug in percentages into a spreadsheet where I am doing a quick result for a game. As i mentioned in my response on another post. I realized i was overthinking the fact thestew only two possible outcomes, regardless of the number of sides on each die.
 
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