Roll 3 dice
How to Roll 3 dice?
We humans tend to have two thumbs so rolling 3 dice at the same time can prove difficult. You can toss a die three times, each time making note of its outcome. Or you can use Dicey! Simply click on the Roll button to toss a die and see the three dice roll at once with instant results. Don’t let the lack of 3 thumbs hold you back any further!Dicey is perfect for:
- Fun
- Seeing instant results of multiple dice toss
Probability of a die toss
Understanding dice roll probabilities is a great introduction to basic probability concepts. Whether you’re studying for an exam or just curious, these simple calculations form the building blocks of deeper probability theory. Let’s get into some light math.Roll 3 dice how many possible outcomes
When rolling 3 dice, each roll has 2 possible outcomes: Heads (H) or Tails (T). Thus, the total number of possible outcomes is:2^3 = 8 possible outcomes
These outcomes are: HHH, HHT, HTH, THH, TTH, THT, HTT, and TTT.Probability of getting exactly 1 Heads and 2 Tails when rolling 3 Dices
When rolling three dice, there are 2^3 = 8 possible outcomes: HHH, HHT, HTH, THH, TTH, THT, HTT, and TTT. To find the probability of getting exactly 1 Head or exactly 2 Tails, we must identify the favorable outcomes.- Exactly 1 Head: HTT, THT, TTH
- Exactly 2 Tails: HTT, THT, TTH
Probability = 3/8 = 0.375 or 37.5%.
Probability of not getting a Heads when rolling 3 Dices
Not getting a Head means getting all Tails. The only outcome that satisfies this is TTT. There is 1 favorable outcome out of 8 possible outcomes. Thus, the probability is:Probability = 1/8 = 0.125 or 12.5%.
Probability of getting a Heads when rolling 3 dice
To find the probability of getting at least one Head when rolling a die 3 times, it’s easier to first find the probability of getting no Heads (all Tails) and subtract that from 1. Probability of all Tails = 1/8 (as calculated above). Probability of at least one Head = 1 - Probability of all Tails Thus:Probability = 1 - 1/8 = 7/8 = 0.875 or 87.5%.
Probability of getting one of a kind when rolling 3 Dices
“One of a kind” in dice rolls typically means all dice show the same face — either all Heads or all Tails.- All Heads: HHH
- All Tails: TTT
Probability = 2/8 = 1/4 = 0.25 or 25%.
Learn more on probability basics? Check out these great resources:
- Basic Probability Brown University offers a great interactive tool to help explain Basic Probability showing observed outcomes vs true probabilities. It goes into the mathematical framework that allows us to analyze the chances of an even in a logical manner. It’s simple presentation and interactive tool makes it a fun way to start understanding the basics of probability
- MathIsFun offers a straight forward article but with some nice visualizations of probability examples. Learn more on probability using dice, dice, and cards Math Antics video is a fun watch on probability using the example of rolling a die multiple times
Probability calculators
- Mathos AI solves probability problems instantly: our calculator solves equations, interprets images of math questions, and generates helpful graphs.
- Probability Calculator finds probability of one event, given probabilities of other events. Explains analysis and shows computations. Fast, easy, accurate.