Robertroberts
Robertroberts
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October 3rd, 2016 at 7:04:10 PM permalink
I have a question about a twenty sided dice table top game. Option 1, every turn you roll a twenty sided die once, and if you roll over 16, you score the total of 5 six sided dice. Option 2, every turn you roll a twenty sided dice 3 times, each time you roll over 16 you score the total of 2 six sided dice. I'm terrible at statistics, which option gives you the odds for a higher score on one turn or over ten or many turns? Cheers.
rsactuary
rsactuary
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October 3rd, 2016 at 7:21:57 PM permalink
Some basic statistics to start with: Probability of rolling greater than 16 is 20% (4/20). Expected value of a roll of a die: 3.5

So expected value for Option 1 is .2 x 5 x 3.5 = 3.5

Expected value for Option 2 is 3 x .2 x 2 x 3.5 = 1.2 x 3.5 = 4.2
Robertroberts
Robertroberts
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October 4th, 2016 at 1:39:07 PM permalink
Thank you for your reply. I had another question about multi sided dice games. I was interested in the term "expected value".

My question was, what is the difference in outcomes expected between taking 10 turns rolling 2 six sided dice vs. 10 turns rolling 1 twelve sided dice. If two players were competing against each other, which would have a higher total over 10 turns, and who would win the highest value in each of the individual turns?
rsactuary
rsactuary
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October 5th, 2016 at 12:14:28 AM permalink
Good luck
onenickelmiracle
onenickelmiracle
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October 5th, 2016 at 5:54:47 AM permalink
Quote: Robertroberts

Thank you for your reply. I had another question about multi sided dice games. I was interested in the term "expected value".

My question was, what is the difference in outcomes expected between taking 10 turns rolling 2 six sided dice vs. 10 turns rolling 1 twelve sided dice. If two players were competing against each other, which would have a higher total over 10 turns, and who would win the highest value in each of the individual turns?

Common sense. Two six sided dice have a minimum of 2 compared to a minimum of 1 for the 12 sided die.
I am a robot.
wudged
wudged
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October 5th, 2016 at 6:21:26 AM permalink
Quote: Robertroberts

Thank you for your reply. I had another question about multi sided dice games. I was interested in the term "expected value".

My question was, what is the difference in outcomes expected between taking 10 turns rolling 2 six sided dice vs. 10 turns rolling 1 twelve sided dice. If two players were competing against each other, which would have a higher total over 10 turns, and who would win the highest value in each of the individual turns?



just substitute the new values into the same formula from above

10 turns with 2 six sided dice: 10 * 2 * 3.5 = 70
10 turns with 1 twelve sided die: 10 * 6.5 = 65
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