What is the probability of rolling a six with a standard die, six times in a row?

(1/6)^6 = 1/46,656 (assuming you only throw the dice six times).

what is the probability that you would not roll six sixes

To find the probability of rolling a six with a standard die, six times in a row, we need to consider the probability of rolling a six on a single roll and then multiply it by itself six times.

A standard die has six sides, numbered 1 to 6. Each side has an equal chance of appearing when the die is rolled. So, the probability of getting a six on any single roll of the die is 1/6.

To find the probability of rolling a six six times in a row, we multiply the probability of rolling a six on one roll by itself for each consecutive roll. Therefore, the probability would be (1/6) * (1/6) * (1/6) * (1/6) * (1/6) * (1/6), which simplifies to (1/6)^6.

Calculating this expression, we get 1/46656, which means there is a 1 in 46,656 chance of rolling a six, six times in a row with a standard die.