# Quick Answer: How many outcomes are possible when 3 number dice are rolled and no two outcomes are same?

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## When rolling 3 dice and 3 coins The total number of outcomes is?

Solution: Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 63 = (6 × 6 × 6) = 216.

## When 3 dice are rolled the sample space consists of how many events?

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 is the probability of 3 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%)

## How many outcomes are possible with 2 dice?

When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six).

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## How many outcomes are there if you flip a coin 3 times?

1. The sample space of a fair coin flip is {H, T}. The sample space of a sequence of three fair coin flips is all 23 possible sequences of outcomes: {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}.

## How do you determine the number of outcomes?

Once again, the Counting Principle requires that you take the number of choices or outcomes for two independent events and multiply them together. The product of these outcomes will give you the total number of outcomes for each event.

## What is the probability of flipping heads and rolling a three?

N=3: To get 3 heads, means that one gets only one tail. This tail can be either the 1st coin, the 2nd coin, the 3rd, or the 4th coin. Thus there are only 4 outcomes which have three heads. The probability is 4/16 = 1/4.

## What is the probability of rolling a sum of 3?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of 3: 1/216 = 0.5% Probability of a sum of 4: 3/216 = 1.4%

## What is the sample space for 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 is the sample space when two dice are rolled?

The set of all possible outcomes of a random experiment is called the sample space associated with it and it is generally denoted by ‘S’. For an event of throwing of single die, sample space of die is given as: s = {1, 2, 3, 4, 5, 6}. Therefore, the number of favorable outcomes in the sample space = 6.

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