# How many outcomes are possible with 3 dice?

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Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes.

## 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 possible outcomes are there on a dice?

Note that there are 36 possibilities for (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## How many outcomes are possible with 4 dice?

If four dice are rolled (or a single die is rolled 4 times) there are 6*6*6*6 = 1296 ways for the four dice to come up.

## How many ways can 3 dice of different colors be thrown at the same time?

We can list all possible outcomes for the three dice and add a fourth column that contains a 0 if the event is not in A and contains a 1 if the event is in A. By simple counting, we find that there are 15 outcomes in event A, out of the total of 216 possible outcomes.

## What is the probability of getting a sum 3 If a dice is thrown?

So, P(sum of 3) = 1/18.

## What is the probability of getting 3 If a dice is thrown once?

P(3) = (1)/(6). Hence, the probability of getting 3 after tossing a rolling die is 1/6 or 0.167.

## How many outcomes are there 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). 6 x 6 = 36.

## How many outcomes can you get with 2 dice?

Why do we know, without listing them all, that there are 36 outcomes when two dice are rolled? We can view the outcomes as two separate outcomes, that is, the outcome of rolling die number one and the outcome of rolling die number two.

## How many sums are possible with 2 dice?

How many total combinations are possible from rolling two dice? Since each die has 6 values, there are 6∗6=36 6 ∗ 6 = 36 total combinations we could get. If you add up the numbers in the total column above, you’ll get 36.

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## What is a possible outcome?

Possible Outcomes – a list of all the resulting possibilities from an event. e.g. When rolling a die – all possible outcomes are 1, 2, 3, 4, 5, 6. 6. Favorable Outcome – the result that is desired. e.g. Roll a 4 on a die → 4 is the only favorable outcome.

## How many outcomes are there if you flip a coin 5 times?

Originally Answered: In the tossing of a coin 5 times, how many possible outcomes are there? Multiply the number of choices for each coin flip and you get 2*2*2*2*2 = 32. The 32 rows show all of the possible outcomes of flipping a coin five times.

## 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.

## How many different possible outcomes exist if 3 unique coins and 2 unique six sided dice are rolled?

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