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## What is the average number of rolls of a die to get a 6?

The probability of getting a six in a single throw is 1/6. Therefore, on average, you’ll have about **six throws** for every appearance of a 6. In other words, you can expect an average of 6 throws in order to see a 6 (as usual, this includes the throw that gives the 6).

## On what roll would you expect to roll a 6?

The probability of rolling a 6 will always be **1/6** since the experiment is independent. So the expected number of rolls will be 1/1/6=6.

## How likely are you to roll a six if you roll a dice 6 times?

Danger · hfhfhfrr . There is a **66.5% chance** of it landing on a 6 at least once.

## What is the expected number of rolls to get all the faces from 1 to 6?

This shows that the mean total time to get all six results is 6∑k=16k=14710=**14.7**.

## How many times will you get a six if you throw a dice 100 times?

(a) if a fair die is rolled 100 times, how many 6’s do you expect? the probability of rolling a 6 on a fair die is 1/6, so that we expect 100 × 1/6 = **16.7 ≈ 17 6’s** to be rolled.

## How many dice must be rolled to have at least a 95% chance of rolling a six?

Hence, **n ≥ 17** will give at least a 95% chance of rolling at least one six.

## What is the expectation of getting 5 on a roll of a dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |

## What is the expected number of rolls of a fair d6 6 sided dice until all 6 faces have appeared at least once?

The Expected Value

6/6 + 6/5 + 6/4 + 6/3 + 6/2 + 6/1 = **14.7 rolls**. When I told my son that “you should expect to roll the die 14.7 times before all six faces appear,” he was unimpressed.

## What are the odds of Farkle with 6 dice?

Every individual die still has a 1 in 3 chance, so even with 6 dice, the probability of a 1 or 5 remains **33.33%**.

…

One or Five.

Dice Left | Odds | Probability |
---|---|---|

6 | 12 in 36 |
33.33% |

5 | 10 in 30 | 33.33% |

4 | 8 in 24 | 33.33% |

3 | 6 in 18 | 33.33% |

## What’s the probability of rolling at least one 6?

When you roll two dice, you have a **30.5 % chance** at least one 6 will appear. This figure can also be figured out mathematically, without the use of the graphic.