What is the probability that a dice rolls a 1, three times in a row.

1/216 or 0.0046

Step-by-step explanation:

Rolling a '1' one time has a probability of 1/6.  Rolling a die three times and getting a '1' each time is an independent event, meaning that no roll affects the probability of a '1' happening on any other roll.  When calculating probability of independent events, multiply them together.  So the probability of a '1' three times in a row is...

(1/6)(1/6)(1/6) = 1/216 or 0.0046

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