How many outcomes will constitute the sample space resulting from rolling a pair of balanced 6-sided dice?

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How many outcomes will constitute the sample space resulting from rolling a pair of balanced 6-sided dice?

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Answer 1 · 2015-02-28T13:41:54

The sample space is $6*6=36$

The first die has $6$ possible outcomes, as does the second.

Since these events are independent from each other, you must multiply the possibilities of the two events.

Or:
You can write out all possibilities, from $11, 12,13$ ... all the way up to ... $65$ and $66$
Remember that $14$ is NOT the same as $41$ , and you will also find $36$ possibilities.

Extra :
Example: if you want to calculate the probability of rolling a total of $5$ , this can be done in the following ways:
$14,23,32,41->4$ ways.

Probability is then $"favourable"/"total"=4/36=1/9~~11%$

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How many outcomes will constitute the sample space resulting from rolling a pair of balanced 6-sided dice?

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