Number of outcomes is all that matters

True or False?

If I toss a fair coin once, then the only possible outcomes are heads or tails with equal probabilities. So the probability of obtaining a head from a single toss is 12 \frac12.

If I toss a fair coin twice, then the only possible outcomes are "2 heads," "2 tails" or "1 head and 1 tail," again with equal probabilities. So the probability of obtaining "1 head and 1 tail" from two tosses is 13 \frac13.

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