A batter who had failed to get a hit in seven consecutive times at bat then hits

Question

A batter who had failed to get a hit in seven consecutive times at bat then hits a game-hitting home run. When talking to reporters, he sayd he was very confident that last time at bat because he knew he was "due for a hit". comment on his reasoning.

a) there is no such thing as being "due for a hit". his reasoning is based on the so-called "law of averages" assuming the events are independent, the batter's chance for a hit does not change based on recent successes or failures.

b) there is no such thing as being "due for a hit". his reasoning is based on the so-called "law of large numbers" assuming the events are independent, the batter's chancefor a hit does not change based on recent successes or failures.

c) his reasoning is based on the so-called "law of averages" assuming the events are independent, the batter's chance for a hit increases with every past failure.

d) his reasoning is based on the so-called "law of large numbers" assuming the events are independent, the batter's chance for a hit increases with every past failure.

Explanation / Answer

a) there is no such thing as being "due for a hit". his reasoning is based on the so-called "law of averages" assuming the events are independent, the batter's chance for a hit does not change based on recent successes or failures.

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