If you roll a dice six times, what is the probability of rolling a number six?

1 Answer

There is a #66.5%# chance of it landing on a 6 at least once.

Explanation:

Because there are six faces on a die, you have an even chance of the dice landing on one of these faces each time you roll: #1/6#. This means that each time that you roll, there is a #5/6# chance that you will not roll a 6. The probability of not rolling a 6 twice is #5/6*5/6#, or #69.4%.#

Roll the die six times, and the probability of not rolling a 6 is #5/6*5/6*5/6*5/6*5/6*5/6#, also written #(5/6)^6#, which = #33.5%#. Therefore, the probability of rolling a 6 at least once in 6 rolls # = 100%-33.5% = 66.5%#