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
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The chance of rolling a double 6 is 1/6x1/6The chance of getting the 3 times in a row is(1/6x1/6)3 or (1/36)3 which is 1/46,656, a very small number!
1:24 one in 24 rolls
The answer I'm editing says the odds are 1 in 8. This is true only if you actually mean the probability of getting 3 tails in a row, rather than just 3 of either heads or tails in a row. In mentioned case, the first flip doesn't matter which side it lands on, just the proceeding two flips do. So, the odds of flipping a coin three times with the same outcome are 1 in 2^2 or 1 in 4. The odds of flipping three tails in a row are 1 in 2^3 or 1 in 8.
When a number cube is rolled twice, there are 36 possible outcomes. (1,1),(1,2),....(6,6). (3,3) occurs only once. Therefore, the probability of rolling a 3 both times is 1/36.