I toss a penny and observe whether it lands heads up or tails up. Suppose...
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I toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, that is, the probability of heads is 1/2 and the probability of tails is 1/2. This meansa) every occurrence of a head must be balanced by a tail in one of the next two or three tosses.b) if I flip the coin many, many times, the proportion of heads will be approximately 1/2, and this proportion will tend to get closer and closer to 1/2 as the number of tosses increases.c) regardless of the number of flips, half will be heads and half will be tails.d) all of the above.
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