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## What is the probability of rolling a 6 with four dice?

de Méré asked his mathematician friend, Pascal, to help him solve the problem. The probability of rolling a 6 in 4 throws is 1−(56)4 1 − ( 5 6 ) 4 , which turns out to be just **over 50%**.

## What is the probability of getting a 6 each time if a die is rolled 4 times?

Expert Answers

When rolled 4 times, each time has a probability of **1/6**.

## What is the probability rolling a 6?

So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or **16.7 percent chance**. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.

## What is the probability of rolling a 4?

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 probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is **91**. 91 out of 216 or 42.1 %.

## Which is more likely never getting a 6 when rolling a fair die six 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%.

## What are the odds of rolling a 6 6 times in a row?

Since there are six choices, then each time there is a **1/6 chance** of rolling a six. The fact they are entirely independent of each other means we simply multiply each roll’s probability together: 1/6 × 1/6 × 1/6 × 1/6 = (1/6)^{4} = 1/1296 = 0.00077. Now let’s say you had already rolled double sixes.