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Calculate the statistical probability of drawing a certain amount of the last three times in a row.?

It's been awhile since the statistics class, looking for odds of this happening. We placed 10 bags of chips, each chip was marked with numbers (1-10). Then I picked up the nine numbers in the bag, only the amount that is not pulled out of the bag was a number 7 At this respect, all the chips back to the bag, and re-used. Again, the number 7 is pulled. When it happened a third time, it got us thinking … What are the odds of placing 10 numbered chips in the bag, and then take the number 7 is bag 3 times in a row? I'm curious, but … is the fact that a number during the first draw, was a dynamic … again use the work, "7" is static, the second and third time? Or is the law of statistics dictate that randomness "7" for each attempt to change?

coincidence that 7 is the last selected (ie, remain in the bag) = 1 / 10 Now, if you repeat it three times a prob. 7 will remain in the bag three times in a row = (1 / 10) ^ 3 = 1 / 1000

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