**Contents**show

## How many times can you roll a 7 with two dice?

When two dices are rolled, there are **six possibilities** of rolling a sum of 7 .

## What is the probability of getting a 7 on one roll of a die?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.

## How many ways can you get 7?

There is an equal probability of rolling each of the numbers 1-6.

…

What are the most likely outcomes from rolling a pair of dice?

Outcome | List of Combinations | Total |
---|---|---|

6 | 1+5, 2+4, 3+3, 4+2, 5+1 | 5 |

7 | 1+6, 2+5, 3+4, 4+3, 5+2, 6+1 |
6 |

8 | 2+6, 3+5, 4+4, 5+3, 6+2 | 5 |

9 | 3+6, 4+5, 5+4, 6+3 | 4 |

## How many ways can you hit 7 on dice?

The Dice Combinations

Number | Number of Possible Combinations | Combinations/Permutations |
---|---|---|

7 |
6 |
1-6, 6-1, 2-5, 5-2, 3-4, 4-3 |

8 | 5 | 2-6, 6-2, 3-5, 5-3, 4-4 |

9 | 4 | 3-6, 6-3, 4-5, 5-4 |

10 | 3 | 4-6, 6-4, 5-5 |

## What is the probability that the sum 7 appears in a single toss of a pair of fair dice?

(d)Probability of getting a sum of 7 when a pair of fair dice tossed = **6/36** because (1,6) (2,5) (3,4) (4,3) (5,2) and (6,1) are favourable outcomes Total number of possible outcomes = 6^2 = 36 Probability of getting a sum of 11 when a pair of fair dice tossed = 2/36 because (5,6) and (6,5) are favourable outcomes …

## What is the probability of rolling 7?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |

8 | 5/36 (13.889%) |

## What is the probability of getting a sum of 7?

Probabilities for the two dice

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

6 | 5 | 13.89% |

7 | 6 |
16.67% |

8 | 5 | 13.89% |

9 | 4 | 11.11% |