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You are talking about independent events dkrmguy, whereas the chart is showing the odds for combined events. If what you are saying is true, then the odds of rolling a 12 on two dice would be the same as rolling a 7.
Each dice roll is an independent event that cannot be connected to the next dice roll. Odds of each roll are not improved just by rolling more.
The day is coming when a single carrot, freshly observed, will set off a revolution. Paul Cezanne
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Each dice roll is an independent event that cannot be connected to the next dice roll. Odds of each roll are not improved just by rolling more.
Your chance of rolling a 7 or higher on the dice with one attempt is 58.3%. If you roll again, your chance will be 58.3%. That much is true. But, your chance of rolling a 7 in two tries is much higher--it's 82.6%, just like the table says. Each roll of the dice is independent, yes, but if you only need to achieve a given outcome only once, your chance of succeeding increases with each attempt you are able to make.
"If I find in myself a desire which no experience in this world can satisfy, the most probable explanation is that I was made for another world."
for the newbs out there who know nothing about probability....
P(7) = (# of ways to roll 7) / (number of ways to roll 2 dice)
P(7) = 6/36 = 1/6
P(7 or better) = (# of ways to roll 7 8 9 10 11 12) / (number of ways to roll 2 dice)
P(7 or better) = 21/36
P(7 or better with two rolls) = 1-P(6 or less)*P(6 or less)
P(6 or less) = 1-P(7 or better) = 1-21/36 = 15/36
P(7 or better with two rolls) = 1-(15/36)*(15/36) = 119/144
I have an excel sheet with all the probs (including shape change, super senses, prob control etc...)