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## How do you find the expected value of a dice?

The expected value of the random variable is (in some sense) its average value. You compute it by **multiplying each value x of the random variable by the probability P(X=x)**, and then adding up the results. So the average sum of dice is: E(X) = 2 ^{.} 1/36 + 3 ^{.} 2/36 + ….

## How many outcomes are there in a roll of dice?

Note that there are **36 possibilities** for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## What is the theoretical mean for rolling a die?

Use P to represent probability. Theoretical: **The ratio of possible ways that an event can happen to the total number of outcomes**. Theoretically, the probability of rolling an even number on a dice ranging from 1 to 6 would be , or simply just .

## 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 value of 2 dice?

The expectation of the sum of two (independent) dice is the sum of expectations of each die, which is **3.5 + 3.5 = 7**. Similarly, for N dice throws, the expectation of the sum should be N * 3.5. If you’re taking only the maximum value of the two dice throws, then your answer 4.47 is correct.

## How do you find the mean of rolling a dice?

To find the mean for a set of numbers, **add the numbers together and divide by the number of numbers in the set**. For example, if you roll two dice thirteen times and get 9, 4, 7, 6, 11, 9, 10, 7, 9, 7, 11, 5, and 4, add the numbers to produce a sum of 99.

## What is the theoretical probability that you will roll any number on the dice?

Since there are six possible outcomes, the probability of obtaining any side of the die is **1/6**. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.