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## What is the probability of getting a sum of 9 on the two dice?

4. What is the probability of getting a sum 9 from two throws of a dice? Explanation: In two throws of a dice, n(S) = (6 x 6) = **36**.

## What is the probability of rolling two six sided dice with a sum of 9?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

6 | 15/36 (41.667%) |

7 | 21/36 (58.333%) |

8 | 26/36 (72.222%) |

9 | 30/36 (83.333%) |

## How many ways are there to get a sum of 9?

So in total there are **25 ways** to get a sum of 9. If you want the probability, just take this over the total number of possibilities and you get 25/63=25/216.

## What is the probability of getting a prime number from 1 to 100?

The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. Hence, the probability of the event that a number chosen from 1 to 100 is a prime number .

## What is the probability of getting a sum of 22?

⇒**6+6+6+4**=22 , this arrangement is possible in 4 ways with different positions of numbers 4 to appear. Hence, the option (B) is the correct answer.

## What is the probability of rolling a sum of at least 9?

Probabilities for the two dice

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

7 | 6 | 16.67% |

8 | 5 | 13.89% |

9 | 4 |
11.11% |

10 | 3 | 8.33% |

## How many ways can a sum of 2 or a sum of 10 be rolled with a pair of standard dice?

If you consider the chart on the webpage given, there are **36** combination of rolls you can get from two dice. When you consider the sum being 10, there are only 3 combinations. So, the probability of getting a 10 would be 3/36 = 1/12.

## What is the probability that the sum of two dice is 5?

The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = **1/9**.

## What is the sum of 10?

The addition of 7 to 8 results in a sum of digits of 6 and so on down to a sum of digits of 2.

…

Number | Repeating Cycle of Sum of Digits of Multiples |
---|---|

7 | {7,5,3,1,8,6,4,2,9} |

8 | {8,7,6,5,4,3,2,1,9} |

9 | {9,9,9,9,9,9,9,9,9} |

10 | {1,2,3,4,5,6,7,8,9} |

## What is the probability of getting a total of nine?

How many ways can we get a 9 with two dice? 936 , which can be simplified to **14** . Therefore, the probability of rolling a 9 with two dice is 14 .

## How many outcomes have a sum of at least 9?

(ii) two numbers appearing on them whose sum is 9. Therefore, total number of possible outcomes = **36**.