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The odds of rolling a triple six are less than 100%. Therefore there is NO finite number of rolls which would guarantee a win. The probability of rolling a triple 6 is 1/216.

## What is the chance that you roll 3 dice and get 3 sixes?

This seemed simple at first as the odds of rolling 1 six are 1/2, 2 sixes would be 1/14 and 3 sixes would be **1/216** so they would be our odds.

## What is the probability of rolling a 3 with 3 dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

3 | 3/36 (8.333%) |

4 | 6/36 (16.667%) |

5 | 10/36 (27.778%) |

6 | 15/36 (41.667%) |

## What is the probability of rolling a 6 in 3 rolls?

Since there can be one six or two sixes or three sixes on three rolls, I considered separate cases and added them up. So (1/6)(5/6)(5/6)+(1/6)(1/6)(5/6)+(1/6)(1/6)(1/6)=**31/216**, but answer is incorrect as per book.

## What are the odds of rolling a 7?

Probabilities for the two dice

Total | Number of combinations | Probability |
---|---|---|

5 | 4 | 11.11% |

6 | 5 | 13.89% |

7 | 6 |
16.67% |

8 | 5 | 13.89% |

## How many ways can you roll a 6 with 3 dice?

Kent’s reasoning was, with one die, the chances of rolling a 6 were **1/6** which is correct.

…

Chances of NOT rolling a 6 | Chances OF rolling a 6 | |
---|---|---|

…with 3 dice | 125 / 216 57.87 % |
91 / 216 42.13 % |

…with 4 dice | 625 / 1,296 48.23 % | 671 / 1,296 51.77 % |

## What’s the probability of rolling a 5 on one dice 3 times in a row?

The probability is **1216 chance**, which is approximately a 0.46% chance.

## What is the probability of rolling 6 sixes in a row?

So the probability of doing this six times in a row is 0.015432^{6} = **1 in 74,037,208,411**. If I roll a single die 6 times, what is the probability of getting a “2” exactly 4 times?

## What is the probability of rolling a 1 five times in a row?

Each individual die has a 1/6 probability of rolling a specific number. Rolling 5 dice gives you (1/6)^5. Thus the answer is **0.0001286**.