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This depends on if you want at least two of the dice to be the same number, or exactly two of the dice to be the same number.

For the first scenario: Roll the first die, and get a number. Roll the second die, and there is 1/6 chance that it'll be the same as the first one. Now if it's not the same (5/6 chance) then the third die has 1/6 chance of being the same as the first, and 1/6 chance of being the same as the second. So we have:

1/6 + 5/6*(1/6 + 1/6) = [simplified] 4/9 or about 44.44%chance that at least two are the same.

For the second scenario: With three dice, there are 216 possible outcomes (6 x 6 x 6). So we know that there is a 4/9 chance that 2 or more will be the same: (4/9)*216 = 96 outcomes. Now 6 of these outcomes will have all three dice the same, so subtract 6 from 96 = 90. There is a 90/216 = 5/12 or 41.67% chance that exactly two dice are the same.

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Q: What is the probability that if three dice are rolled simultaneously then two dice will come up with same number?
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