Table of Contents
- 1 What is the probability of rolling 4 dice with the same number?
- 2 What is the probability that he rolls the same number on both dice?
- 3 How do you add probabilities?
- 4 What is the probability that the sum of the dice is 4?
- 5 What is the probability of getting 7 on a 10-sided die?
- 6 What is the probability of the 1st die matching the 4th?
What is the probability of rolling 4 dice with the same number?
The probability that 4 dice show the same number is (1/n) ^4, where n equals the number of sides on a given die.
What is the probability that he rolls the same number on both dice?
1/36
The probability of two dice being the same particular number is 1/6 x 1/6 = 1/36. This is not the same as saying that both dice are the same number. There are six different possible numbers, so that would be 6/36 or 1/6.
What is the probability that at least two of them roll the same number?
So the probability of exactly two persons getting the same number is: 1/6 * 5/6 * 5/6 = 0.11574074074 or about 11.57\%. Another way of calculating this (which might be more explanatory) is calculate that exactly two persons get number 1.
What is the probability that both dice show different numbers?
1/4
If you roll two fair six-sided dice, the probability that both dice show an odd number is 1/4.
How do you add probabilities?
If A and B are two events in a probability experiment, then the probability that either one of the events will occur is: P(A or B)=P(A)+P(B)−P(A and B)
What is the probability that the sum of the dice is 4?
1/12
Answer: The probability of rolling two dice and getting a sum of 4 is 1/12.
What is the probability that both dice show 4?
The following table shows the probabilities for rolling a certain number with a two-dice roll….Two (6-sided) dice roll probability table.
Roll a… | Probability |
---|---|
3 | 3/36 (8.333\%) |
4 | 6/36 (16.667\%) |
5 | 10/36 (27.778\%) |
6 | 15/36 (41.667\%) |
What is the probability of the same number appearing in all dices?
There are 6 numbers on a dice. When 4 dices are thrown at once the number of possibilities is 6^4 Same number appearing means either 1 or 2 or …6 will come up in each dice. so there are 6 such cases possibilities. Hence the probability of the same number appearing in all 6 dices id 6/ (6^4) = 1/6^3 = 1/216 Ans
What is the probability of getting 7 on a 10-sided die?
There is a simple relationship – p = 1/s, so the probability of getting 7 on a 10 sided die is twice that of on a 20 sided die. The probability of rolling the same value on each die – while the chance of getting a particular value on a single die is p, we only need to multiply this probability by itself as many times as the number of dice.
What is the probability of the 1st die matching the 4th?
The 1st die can be any number, but then the next three dice must all match the 1st die. The chance of the second matching the 1st is 1/6. The chance of the third die matching the 1st die is 1/6. The chance of the 4th die matching the 1st is 1/6. So the probability is 1/6 x 1/6 x 1/6 = 1/216 or approximately 0.46\%
How does the number of dice affect the distribution function?
The higher the number of dice, the closer the distribution function of sums gets to the normal distribution. As you may expect, as the number of dice and faces increases, the more time is consumed evaluating the outcome on a sheet of paper. Luckily, this isn’t the case for our dice probability calculator!