Question: A box contains 7 identical balls numbered 1 through 7. Three balls are drawn, one by one, at random, and without replacement, and their numbers

A box contains 7 identical balls numbered 1 through 7. Three balls are drawn, one by one, at random, and without replacement, and their numbers are recorded. What is the probability that

(a) all three outcomes are odd;

(b) exactly one outcome is odd?

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