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Suppose you toss a fair coin​ 10,000 times. Should you expect to get exactly 5000​ heads? Why or why​ not? What does the law of large numbers tell you about the results you are likely to​ get? a. You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur. b. You should expect to get exactly 5000​ heads, because the proportion of heads should be​ 50% for such a large number of tosses. c. You should expect to get exactly 5000​ heads, because for a fair​ coin, the proportion of heads is exactly​ 50%. d. You​ shouldn't expect to get exactly 5000​ heads, because it is not easy to count precisely the number of heads that occurred.

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sarahtaurus17

The answer is:

You​ shouldn't expect to get exactly 5000​ heads, because you cannot predict precisely how many heads will occur.

The outcome in tossing a fair coin is based on chance.

However, according to the law of large numbers, the frequencies of events with the same likelihood of occurrence even out, given enough trials or instances.

For example, in the case of  a fair coin, where both head and tail have equal probability of occurrence, as the number of tosses becomes sufficiently large (say 1 million tosses), the ratio heads to tails in the outcome will be extremely close to 1:1.

So according to the law, we should expect to approach a point where half of the outcomes are heads and the other half are tails, as the number of tosses become very large.

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