SOLUTION: Three dice are rolled at once what is the probability of obtaining same face faces 1/36 1/2 1/6 1/72

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Question 1142629: Three dice are rolled at once what is the probability of obtaining same face faces
1/36
1/2
1/6
1/72
Found 2 solutions by math_helper, Edwin McCravy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say you roll three 1's: +%281%2F6%29%2A%281%2F6%29%2A%281%2F6%29+=+%281%2F6%5E3%29+
... there are six such possibilities (1,2,...,6) so +6%281%2F6%5E3%29+=+%281%2F6%5E2%29+=+highlight%28+%281%2F36%29+%29+

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Let's get the number of SUCCESSFUL ways:

There are only 6 successful ways they can come up:
All 1's, all 2's,..., all 6's.

Now let's get the number of POSSIBLE ways:

There are 6 possible ways the first die can come up
TIMES
6 possible ways the second die can come up
TIMES
6 possible ways the third die can come up.

So that's 6×6×6 = 6³ = 216 ways.

So the probability is 6 successful ways out of 216
possible ways, or 6 out of 216 or 6/216 which reduces
to 1/36.

Edwin