Question

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

Answer 1

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%`