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someone reasons that when a coin is tossed, there are three possible outcomes: it comes up heads or tails or it lands on it edge.

someone reasons that when a coin is tossed, there are three possible outcomes: it comes up heads or tails or it lands on it edge. with three outcomes on each toss, the fundamental counting rule suggests that there are nine possibilities (from 3 times 3=9) for two tosses of a coin. it therefore follows that the probability of two heads in two tosses is 1/9. is this reasoning correct? if not, what is wrong?

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