Consider an unending sequence of independent trials, where each trial is equally likely to result in any

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Consider an unending sequence of independent trials, where each trial is equally likely to result in any of the outcomes 1, 2, or 3. Given that outcome 3 is the last of the three outcomes to occur, find the conditional probability that
(a) The first trial results in outcome 1;
(b) The first two trials both result in outcome 1.
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