Question: Let E be the experiment consisting of tossing a coin three times, with H and T standing for heads and tails, respectively. (i) The following

Let E be the experiment consisting of tossing a coin three times, with H and T standing for heads and tails, respectively.

(i) The following set of outcomes is an incomplete list of the points of the sample space S of the experiment E: {HHH, HTT, TTT, HHT, HTH, THH}. Use a tree diagram to find the missing outcomes.

(ii) An alternative sample space S for the same experiment E consists of the following four outcomes: no heads (0), one head (1), two heads (2), and three heads (3).

Which of the following events can be described as subsets of S but not as subsets of S = {0, 1, 2, 3}?

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