Contents

- 1 What is the expected sum of three dice?
- 2 What is the probability of getting a sum of 3 If a dice is thrown?
- 3 What is the probability of rolling the same number on 3 dice?
- 4 What is the expected value of a fair dice?
- 5 How many numbers are in 3 dice?
- 6 What is the average of 3 dice?
- 7 What is the probability of rolling two dice and the sum is 3?
- 8 What is the probability of getting a multiple of 3 as the sum?
- 9 When 3 dice are rolled together what is the probability that exactly two dice show prime numbers?
- 10 When 3 fair dice are rolled simultaneously in how many outcomes will at least one of the dice show 3?
- 11 What is the expected number of heads appearing when a fair coin is tossed three times?
- 12 What is a fair dice roll?
- 13 How do you solve 3 dice problems?
- 14 What is the sample space of rolling 3 dice?
- 15 Which is the probability of rolling a product that is a multiple of 3 when rolling two number cubes?
- 16 When 3 dice are rolled find the probability of getting a sum of 7?
- 17 How do you find the probability of multiples of 3?
- 18 What is the probability of 3?
- 19 When three dice are rolled together what is the probability of the same number appearing on 136?
- 20 When 3 dice are rolled what is the probability of getting a sum of 6?
- 21 When 3 dice are rolled what is the probability of getting a sum of 8?
- 22 What is the probability of flipping 3 coins and getting all heads?
- 23 What is the probability of getting exactly 3 heads?
- 24 How many numbers are on a fair dice?
- 25 When you roll a fair dice What is the probability that you obtain a 3 or a number less than 3?
- 26 What is the sample space of 3 dice What is the probability of throwing a number divisible by 3?
- 27 How many multiples of 3 are in a dice?
- 28 When 3 dice are rolled what is the probability of getting a sum of 11?
- 29 What is a multiple of 3 in a dice?
- 30 How many multiples of 3 are there?

## What is the expected sum of three dice?

Rolling three dice would give you an expected outcome of **10.5**. (It may be interesting to note that the expected value is an impossible occurrence, since dice have a whole number of dots. You cannot get 10.5, even though this is the expected value!)

## What is the probability of getting a sum of 3 If a dice is thrown?

So, P(sum of 3) = **1/18**.

## What is the probability of rolling the same number on 3 dice?

Thus, probability of getting the same number on the three dice is **136**.

## What is the expected value of a fair dice?

3.5 The expected value of a single die roll is **3.5**, assuming a fair 6-sided die (the numbers 1 through 6 are printed on the sides and appear exactly once each, and the probability of each outcome is 1/6). Remember that the expected value of an action is a weighted average of each possible outcome.

## How many numbers are in 3 dice?

Three dice are roll at the same time, number of attainable outcome can be 63 = (6 × 6 × 6) = **216** because each die has 1 to 6 number on its dots. i.e. (1, 1, 1), (1, 1, 2), (1, 2, 1) and (2, 1, 1).

## What is the average of 3 dice?

The average value of rolling a single die is easy to calculate, you just average the values of all its sides: **3.5 for a 6 sided die (d6), 2.5 for a 4 sided die (d4)** etc. So then it's easy to calculate the average value for 2 (or more) of them: 7 for 2d6, 5 for 2d4 etc.

## What is the probability of rolling two dice and the sum is 3?

1/18. 3 To find the probability that the sum of the two dice is three, we can divide the event frequency (2) by the size of the sample space (36), resulting in a probability of **1/18**. 3.

## What is the probability of getting a multiple of 3 as the sum?

We know that the number of possible outcomes is 36. Thus, the probability of getting multiples of 3 as a sum of digits on dice is =1236=**13**.

## When 3 dice are rolled together what is the probability that exactly two dice show prime numbers?

A fair die is numbered from 1 to 6 with probability of coming of each number being 1/6. Calculation: Even prime numbers out of 1 to 6 is 2. ∴ Probability of getting a number on at least one die equal to even prime number is **91/216**.

## When 3 fair dice are rolled simultaneously in how many outcomes will at least one of the dice show 3?

` Total number of outcomes in which no die shows 3 `=5xx5xx5xx5=**5^(4)`** <br> Total number of possible outcomes in which at least one die shows 3 <br> = Total number of possible outcomes <br> – Number of outcomes in which no die shows 3 `=6^(4)-5^(4)=671`.

## What is the expected number of heads appearing when a fair coin is tossed three times?

Calculation: If three fair coins are tossed then the different values of the number of heads we can get are **0, 1, 2 or 3 heads** and the total number of different outcomes possible is 2 × 2 × 2 = 8.

## What is a fair dice roll?

"What makes dice fair?" is a more loaded question than you might think. At its simplest, a fair die means that **each of the faces has the same probability of landing facing up**. A standard six-sided die, for example, can be considered "fair" if each of the faces has a probability of 1/6.

## How do you solve 3 dice problems?

Solution: **Three dice are roll at the same time, number of attainable outcome can be 63 = (6 × 6 × 6) = 216 because each die has 1 to 6 number on its dots**. i.e. (1, 1, 1), (1, 1, 2), (1, 2, 1) and (2, 1, 1).

## What is the sample space of rolling 3 dice?

From the information, observe that the three dices are rolled. When three dice are rolled sample space contains 6 × 6 × 6 = **216** events in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.

## Which is the probability of rolling a product that is a multiple of 3 when rolling two number cubes?

So, there were 36 total possibilities, and 20 were multiples of 3. The question asked was: What is the probability that the product of the two numbers on top are divisible by 3? The answer is **20/36**.

## When 3 dice are rolled find the probability of getting a sum of 7?

When the three 6-faced regular dice are rolled, all the possible outcomes = 6 × 6 × 6 = 216. To get the sum of the points shown on the three dice to be 7, these should be in the following ways, (1, 1, 5 ) and this can be permuted in **( 3!/2!)** **= 3 ways**, giving sum every time seven.

## How do you find the probability of multiples of 3?

Answer: The probability of getting a multiple of 3 is therefore = **n(E)/n(S) = 2/6 =1/3**.

## What is the probability of 3?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

2 | 1/36 (2.778%) |

3 | 3/36 (8.333%) |

4 | 6/36 (16.667%) |

5 | 10/36 (27.778%) |

## When three dice are rolled together what is the probability of the same number appearing on 136?

Required probability = 6/216 = **1/36**.

## When 3 dice are rolled what is the probability of getting a sum of 6?

Specific Probabilities Possibility of getting a sum of 4: 3/216 = 0.0138 × 100 = 1.4% Possibility of getting a sum of 5: 6/216 = 0.0277 × 100 = 2.8% Possibility of getting a sum of 6: 10/216 = 0.0462 × 100 = **4.6%** Possibility of getting a sum of 7: 15/216 = 0.069 × 100 = 7.0%

## When 3 dice are rolled what is the probability of getting a sum of 8?

The total number of ways to roll an 8 with 3 dice is therefore 21, and the probability of rolling an 8 is **21/216**, which is less than 5/36.

## What is the probability of flipping 3 coins and getting all heads?

1 Expert Answer There are 8 possibilities when flipping three coins and the possibility of getting all heads is **1 out of 8**.

## What is the probability of getting exactly 3 heads?

Considering a fair coin, after 5 flips, there are 25 = 32 different arrangements of heads and tails. Therefore, the probability of exactly 3 heads is **5/16**.

## How many numbers are on a fair dice?

A fair 6-sided die is typically numbered from **1 through 6** (standard), meaning that a single roll will give you one of any of those numbers: 1, 2, 3, 4, 5, or 6.

## When you roll a fair dice What is the probability that you obtain a 3 or a number less than 3?

There are 6 total possible results, so the probability of rolling a number less than 3 is **26 or 13 or 0.3333** .

## What is the sample space of 3 dice What is the probability of throwing a number divisible by 3?

Explanation: When a fair die is thrown, the probability of getting each of the digit 1,2,3,4,5 and 6 is 16 . Of these, digits divisible by 3 are 3 and 6. Hence when you roll a fair die once, probability of getting a number divisible by 3 is **26 or 13** .

## How many multiples of 3 are in a dice?

So, there were 36 total possibilities, and **20** were multiples of 3.

## When 3 dice are rolled what is the probability of getting a sum of 11?

Sum | Frequency |
---|---|

9 | 53 |

10 | 46 |

11 | 28 |

12 |
15 |

## What is a multiple of 3 in a dice?

The probability of getting a multiple of 3. Total number of ways = 1,2,3,4,5,6=6 ways. Out of these ways, multiple of 3 is **3,6**. Hence the number of favourable ways = 2.

## How many multiples of 3 are there?

SOLUTION: multiple of 3: **3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99**.