The odds that the three dice's numbers will be different are 5/9 (probability) when three dice, one each of red, blue, and green, are thrown.
The odds of the green die's number being different from the red die's number are 5/6.
The likelihood that the probability blue die will have a different number from both the red and green dice is 4/6=2/3 in the circumstances where the red and green dice have different numbers.
Consequently,
5/6*2/3
=10/18
=5/9 represents the likelihood that all three numbers are different.
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