the answer is 1/6
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the chances of rolling doubles once is 1 in 6; 3 times in a row it is 1 in 216. It does not make any difference after how many times you rolled the dice before.
The chance of rolling it each time is (1/6). So the chance of rolling it 4 times in a row is(1/6) x (1/6) x (1/6) x (1/6) = (1/1296) = 0.0007716 = 0.0772 % (rounded)The chance of rolling it each time is the same. It's not affected by what came before,since dice have no memory.
The experimental probability of anything cannot be answered without doing it, because that is what experimental probability is - the probability that results from conducting an experiment, a posteri. This is different than theoretical probability, which can be computed a priori. For instance, the theoretical probability of rolling an even number is 3 in 6, or 1 in 2, or 0.5, but the experimental probability changes every time you run the experiment.
Well, isn't that a delightful question! After 9009 comes 9010. Each number is like a little friend, patiently waiting its turn in line. Just keep adding one more each time, and you'll reach the next number in no time at all.
74 add 13 each time