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## What is the probability of rolling an 11 on a twelve sided die?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

9 | 30/36 (83.333%) |

10 | 33/36 (91.667%) |

11 | 35/36 (97.222%) |

12 | 36/36 (100%) |

## What is probability to getting 11?

I’m assuming we’re using standard fair 6-sided dice. There are a total of 6×6=36 possible rolls. There are two ways to roll an 11: (5,6),(6,5) And so the odds of rolling an 11 are: **236=118**.

## When two dice are rolled There are 36 possible outcomes?

The number of total possible outcomes remains 36. Again, we find the probability by dividing the event frequency (6) by the size of the sample space (36), resulting in a probability of **1/6**.

## What is the expected value when rolling a fair 12-sided die?

If you are trying to maximise the expected score, then since the expected value of the 12-sided die is **6.5**, it makes sense to stop when the 8-sided die shows greater than 6.5, i.e. when it shows 7 or 8, each with probability 18.

## Which is more likely never getting a 6 when rolling a fair die six times or never getting a double 6 when rolling a pair of fair dice 36 times?

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: 16 . This means that each time that you roll, there is a 56 chance that you will not roll a 6. The probability of not rolling a 6 twice is 56⋅56 , or **69.4%**.