Table of Contents
- 1 What is the expected value when rolling a fair 12 sided die?
- 2 What is the probability of rolling a six on a 6 sided die twice in a row?
- 3 What is the chance of rolling a 6 in 6 rolls?
- 4 How do you calculate the probability of rolling a six-sided die?
- 5 What is the probability of rolling all the possible values?
What is the expected value when rolling a fair 12 sided die?
If you are trying to maximise the expected score, then since the expected value of the 12-sided die is 6.5, it makes sense to stop when the 8-sided die shows greater than 6.5, i.e. when it shows 7 or 8, each with probability 18.
What is the probability of rolling a six on a 6 sided die twice in a row?
So the total number of times you observe a 6 among these two rolls is 16.66+16.66-2.77 (the number of times you observe a 6 in both roll=100*1/6*1/6=2.77). You have to subtract the last term because you have already counted that double occurrence of 6 in the first roll and then in the second roll.
What is the expected value of rolling a fair 6 sided dice?
3.5
When you roll a fair die you have an equal chance of getting each of the six numbers 1 to 6. The expected value of your die roll, however, is 3.5.
What is the probability in a throw of 12 dice?
Two (6-sided) dice roll probability table
| Roll a… | Probability |
|---|---|
| 9 | 30/36 (83.333\%) |
| 10 | 33/36 (91.667\%) |
| 11 | 35/36 (97.222\%) |
| 12 | 36/36 (100\%) |
What is the chance of rolling a 6 in 6 rolls?
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 do you calculate the probability of rolling a six-sided die?
Probability = Number of desired outcomes ÷ Number of possible outcomes So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. Independent probabilities are calculated using: Probability of both = Probability of outcome one × Probability of outcome two
What is the probability of Rolling 2 dice and getting even?
When you roll two dice, the probability the first die is even is 1/2, the probability the second die is 1/2, and the probability both are even is (1/2) (1/2)= 1/4 (the results of the two rolls are independent) so the probability that either one or both are even is 1/2+ 1/2- 1/4= 3/4.
How do you find the probability of a 6 on a dice?
Probabilities are calculated using the simple formula: So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. Independent probabilities are calculated using: 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 all the possible values?
The probability of rolling all the values equal to or higher than y – the problem is similar to the previous one, but this time p is 1/s multiplied by all the possibilities which satisfy the initial condition. For example, let’s say we have a regular die and y = 3.