Table of Contents
- 1 How many times do you have to roll a die to get all the numbers?
- 2 What is the expected number of tosses to see all sides come up at least once?
- 3 What is the expected value of a single roll of a fair 6 face die?
- 4 How many times can you roll a 100 sided die?
- 5 What is the probability of rolling a 15 on a dice?
- 6 How do you calculate intereset in dice rolling?
How many times do you have to roll a die to get all the numbers?
(The numbers represent the order of the observed sides, not the values on the dice.) Adding all the expected number of rolls for each definition of success we get 14.7. So we expect to roll a die about 15 times on average before we observe all sides at least once.
What is the expected number of tosses to see all sides come up at least once?
What you’re asking is basically the expected number of times (in terms of probability) you have to throw a dice in order to get all the 6 sides at least once. Most of the people have already answered the correct solution that is 14.7.
How many dice do you need to roll before you were guaranteed that four of them would all match or be all different?
10 dice
We will prove that whenever you roll 10 dice, you will always get four matching or all being different.
What is the expected value of a single roll of a fair 6 face die?
A quantity equal to the average result of an experiment after a large number of trials. For example, if a fair 6-sided die is rolled, the expected value of the number rolled is 3.5. This is a correct interpretation even though it is impossible to roll a 3.5 on a 6-sided die.
How many times can you roll a 100 sided die?
The question is as follows: You are given a 100-sided die. After you roll once, you can choose to either get paid the dollar amount of that roll OR pay one dollar for one more roll. What is the expected value of the game? There is no limit on number of rolls.
How do you find the probability of rolling a single 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. In other words, the probability P equals p to the power n, or P = pⁿ = (1/s)ⁿ.
What is the probability of rolling a 15 on a dice?
If we consider three 20 sided dice, the chance of rolling 15 on each of them is: P = (1/20)³ = 0.000125 (or P = 1.25·10⁻⁴ in scientific notation). And if you are intereseted in rolling the set of any identical values, simply multiply the result by the total die faces: P = 0.000125 * 20 = 0.0025.
How do you calculate intereset in dice rolling?
And if you are intereseted in rolling the set of any identical values, simply multiply the result by the total die faces: P = 0.000125 * 20 = 0.0025.