1:24 one in 24 rolls
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Assuming that the die is a "normal" one (it has the numbers 1 to 6 and that it is fair), then the probability of rolling six three times in a row is 1/6*1/6*1/6 = 1/216 = 0.00463 The probability of rolling six three times in a row eventually is 1 (ie a certainty).
The probability of rolling a six on a die 6 times in a row is 1 in 46,656, or 0.000021433. The calculate that, the probability of rolling one 6 is 1 in 6. Simply raise that to the sixth power to get 1 in 46,656.
1 out of 100
The probability of rolling a 3 on a die are 1/6. Since each roll is an independent event, the probability of rolling a 3 4 times in a row is (1/6)4 or 1/1296.The odds of something happening are the chances of it happening vs. the chances of it not happening. The chance of not rolling a 3 4 times in a row is 1-(1/1296) or 1295/1296.Therefore the odds are 1:1295
The probability of rolling one 6 is ( 1/6 ).The probability of rolling seven 6's is ( 1/6 )7 = 3.572 x 10-6 = 0.0003572 percent