i) How many possible outcomes are there? Find the probability that: ii) all three numbers are different; iii) all three numbers are the same;

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a) Three fair six-faced dice (each with faces numbered from 1 to 6) are rolled.
i) How many possible outcomes are there?
Find the probability that:
ii)
all three numbers are different;
iii)
all three numbers are the same;
iv)
two of the numbers are the same and the remaining number is different (a "single
pair").
Transcribed Image Text:a) Three fair six-faced dice (each with faces numbered from 1 to 6) are rolled. i) How many possible outcomes are there? Find the probability that: ii) all three numbers are different; iii) all three numbers are the same; iv) two of the numbers are the same and the remaining number is different (a "single pair").
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