# How many outcomes are possible when you roll 3 dice?

Contents

## What is the probability of rolling 3 in a dice?

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 sample space when rolling 3 dice?

When three dice are rolled sample space contains 6 × 6 × 6 = 216 events in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.

## What are the odds of rolling 3 sixes with 3 dice?

The odds of rolling a triple six are less than 100%. Therefore there is NO finite number of rolls which would guarantee a win. The probability of rolling a triple 6 is 1/216.

## What is the probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or 42.1 %.

## When three coins are tossed simultaneously p 3 heads is?

As we all know that coin is fair and tossed three times. So, the maximum number of heads that can occur will be 3. And the set of possible outcomes after three tosses will be { HHH, HHT, HTH, THH, HTT, THT, TTH, TTT }.

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## How many outcomes would there be in the sample space for rolling 3 dice and flipping 2 coins?

Flipping three coins: Each coin has 2 equally likely outcomes, so the sample space is 2 • 2 • 2 or 8 equally likely outcomes. Rolling a six-sided die and flipping a coin: The sample space is 6 • 2 or 12 equally likely outcomes.

First coin Second coin outcome
T T TT

## What is the probability of rolling a 4 3 times in a row?

For example, the chances of rolling a 4 with a single dice are 1/6, or 16.7%. The chances of rolling a 4 two times in a row are: 1/6 x 1/6 = 1/36 (2.78%). The chances of rolling a 4 three times in a row is 1/6 x 1/6 x 1/6 = 1/216 (0.46%).

## What are the odds of rolling a 6 6 times in a row?

Since there are six choices, then each time there is a 1/6 chance of rolling a six. The fact they are entirely independent of each other means we simply multiply each roll’s probability together: 1/6 × 1/6 × 1/6 × 1/6 = (1/6)4 = 1/1296 = 0.00077. Now let’s say you had already rolled double sixes.