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April 18th, 2011, 04:07 AM | #1 |
Newbie Joined: Apr 2011 Posts: 3 Thanks: 0 | How to calculate dice probability?
Hello all, I've got a problem with calculating dice probability. Lets say I have 5d20 (5 dice and each dice has 20 sides). Now I need to calculate the probability that 1, 2, 3, 4, 5 of the dice are x or higher. If we make x = 14. Then I know that the chances that none of the dice are >= 14 is: (13/20)^5 = 11.6%. So the chances that at least one if them is >= 14 is: 1 - 0.116 = 88.4%. And I know that the chance of getting all of the dice >= 14 is: (7/20)^5 = 0.5%. If I want to calculate what the chances are that 2 dice are >= 14 how would I do that? what about 3 dice? Does anyone know of a formula that I can just put my numbers into and get the result? |
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April 18th, 2011, 06:21 AM | #2 |
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3 | Re: How to calculate dice probability?
If you roll 5d20, the chance that exactly n dice are x or higher is where |
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April 18th, 2011, 08:10 AM | #3 | |
Newbie Joined: Apr 2011 Posts: 3 Thanks: 0 | Re: How to calculate dice probability? Quote:
Another question. Is there a formula that calculates at least instead of exactly? | |
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April 18th, 2011, 08:27 AM | #4 |
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3 | Re: How to calculate dice probability?
You just sum over the range. So to find the probability of at least 3, you sum the probabilities for 3, 4, and 5.
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April 18th, 2011, 04:20 PM | #5 |
Newbie Joined: Apr 2011 Posts: 3 Thanks: 0 | Re: How to calculate dice probability?
Works like a charm ![]() Again thank you so much for your help. |
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