The Law of Large Numbers means that as the number of observations of an outcome

Question

The Law of Large Numbers means that as the number of observations of an outcome of a trial becomes larger, the running mean of the relative frequency of the outcome of interest appears to settle down to a constant value, the probability of the outcome.

You have just flipped a fair coin 7 times getting all heads. Does the coin owe you a tail? The Law of Averages predicts you are due for a tail, but it is a myth. So, if using the same fair coin, no because the probability of a head on the next toss hasn’t changed.

Question:

Is a good hitter in baseball who has struck out the last six times due for a hit his next time up?

Answer options:

The law of large numbers predicts the hitter is not due for a hit.

This is an example of the law of averages. Yes, the hitter is not due for a hit.

This is an example of the so-called law of averages. No, the hitter is not due for a hit because the law of averages is non-existent and doesn’t predict anything.

The law of large numbers predicts the hitter is due for a hit.

Explanation / Answer

The correct answer is:

This is an example of the so-called law of averages. No, the hitter is not due for a hit because the law of averages is non-existent and doesn’t predict anything.

(Note: If multiple options can be selected, also select The law of large numbers predicts the hitter is not due for a hit.)

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