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There are 3 ways an even number can show up on the first die.

AND

There are 3 ways an even number can show up on the second die.

AND

There are 3 ways an even number can show up on the third die.

So since "AND" means "MULTIPLY", there are 3x3x3 or 27 ways

the three dice can all come up even. So the numerator of

the probability is 27.

We calculate the denominator of the desired probability:

There are 6 ways any number can show up on the first die

AND

There are 6 ways any number can show up on the second die

AND

There are 6 ways any number can show up on the third die

So since "AND" means "MULTIPLY", there are 6x6x6 or 216 ways

the three dice can all come up any number. So the denominator

of the probability is 216.

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Q: How many outcomes are there in the sample space for rolling 3 dice?
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Related questions

How many outcomes are there in the sample space of rolling 2 dice?

11 outcomes if the dice are indistinguishable, 36 otherwise.


How many outcomes are in the sample space for rolling two dice?

There are 36.


How many outcomes are in the sample space for rolling 4 dice?

There are 64 = 1296 of them.


What is the size sample for all the outcomes possible for rolling three dice?

Assuming traditional cubic dice, the sample space consists of 216 points.


What is the sizzle of a sample space for all the outcomes possible from the rolling 6 dice?

Not sure about the relevance of sizzle! The size of the sample space is 46656.


What is the size of the sample for all the outcomes possible from rolling 6 dice?

The sample space for 1 roll is of size 6.


What is the sample space of rolling a one on a dice?

impossible or 1/6 * * * * * No! The sample space refers to the set of possible outcomes, not the probability of any one outcome.


What is the sample space for all the outcomes possible from rolling 6 dice?

1, 2, 3, 4, 5, 6


What is the size sample for all outcomes possible for rolling two dice?

5 and 1.


What is the set of all possible outcomes of an experiment?

The set of all possible outcomes of a random experiment is nothing but sample space usually denoted by S. we can also call it as event. For example our experiment is rolling a dice, then our sample space is S= {1,2,3,4,5,6}


What is the size of the sample space for all the outcomes possible from rolling four dice?

There is 6 possible outcomes per roll of a die. So, there are 6*6*6*6 outcomes or 64 or 1296 possible outcomes.


What is the size of the sample space for all the outcomes possible from rolling 6 dice?

If we roll 2 dice simultanosly the sample space consists of 6 rows and 6 col so the answer is 6*6 i.e 36 elements.If we roll 6 dice simultanosly the sample space consists of 36 rows and 36 col so the answer is 36*36 i.e 1296 elements.