Dice Roll Probability Calculator

A dice is a 6 sided object which has all sides of equal length and which is used to play games. Every dice has numbers from 1 to 6 on each face. The different types of dice are listed here:

• A dice that has 4 sides is the tetrahedron. Each face is an equilateral triangle.
• A dice which has 6 sides is the classic cube. Each face is a square.
• 8 sided dice is called an octahedron. Each face is an equilateral triangle.
• 10 sided dice is called a pentagonal trapezohedron. Each face is a kite.
• 12 sided dice is called a dodecahedron. Each face is a regular pentagon.
• 20 sided dice is called a icosahedron. Each face is an equilateral triangle.

Steps to Calculate Probability of Dice

Probability calculator dice, The simple steps to find the probability of a rolling dice are given here. Follow these guidelines to get the answer in a matter of seconds

• Initially, identify how many dice are rolling which is n.
• From that the total number of possible outcomes be 6n.
• Based on the condition provided at the question, make a note of the favorable outcomes.
• The ratio of the number of favorable outcomes to the number of possibilities is the probability.

Example Questions on Dice Rolling Probability

Question 1: A dice is rolled 2 times. What is the probability of getting same numbers?

Solution:

A dice is rolled 2 times.

So, number of possible outcomes are 6² = 36

Favorable outcomes for getting 2 numbers same is {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}

The formula to find probability is No. of favorable outcomes/Total No. of possible outcomes

The probability of geting same numbers when a dice is rolled 2 times = 6/36 = 1/6.

Question 2: A dice is rolled. What is the probability of getting a number lying between 3 and 6?

Solution:

A dice is rolled once.

So, the number of possible outcomes are 6

Favorable outcomes for getting a number lying between 3 and 6 is {4, 5}

The formula to find probability is No. of favorable outcomes/Total No. of possible outcomes

The probability of getting a number lying between 3 and 6 when a dice is rolled is 2/6 = 1/3.

Stay tuned our website Probabilitycalculatorguru to get the quick results on more calculators related to the concept of probability.

1. How do you find the probability of a dice roll?

Mathematically, the probability is the ratio of the number of desired outcomes to the total number of possible outcomes. When a dice is rolled once, then the possible outcomes are 6. So, the probability of a dice roll is a number of the desired outcomes/6.

2. What is the probability of rolling 3 dice and getting the sum of 9?

If a dice is rolled 3 times, then the number of possible outcomes are 63 = 216

The possibilities of getting sum of 9 are {(3,3,3), (2,4,3), (3,4,2), (2,3,4), (4,2,3), (1,4,4), (4,1,4), (4,4,1), (2,5,3), (2,3,5), (5,2,3), (5,3,2), (3,2,5), . . }

Probability of getting the sum of 9 for 3 dice = 25/216.

3. What are the total outcomes when a dice is rolled 4 times?

The total number of possible outcomes when a dice is rolled 4 times is 64 = 1296.

4. What is the probability of getting a number that is multiple of 4 when a dice is rolled 2 times?

The total number of possibilities are 6² = 36

Favorable cases 3 + 5 + 1 = 9

So, the probability of getting a number that is multiple of 4 when a dice is rolled 2 times = 9/36.