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Flipping a Quarter

GMAT-7CMNVL

Mary has been flipping a quarter to record how many times it lands heads up or tails up. She has recorded multiple instances of it landing heads up three times in a row but very few landing four times in a row. Because of this, Mary has concluded that if any quarter lands heads up three times in a row, the next flip has greater odds to land tails up.

If the quarter in question is a standard quarter, which of the following would best be used to show an error in her logic?

A

The probability of getting heads up decreases every time the quarter lands heads up.

B

The probability of a quarter landing heads up or tails up is the same no matter what has happened before.

C

If a quarter behaved in this way it would have already been generally accepted as fact.

D

If someone else has observed this behavior as well, they will see a quarter landing heads up four times in a row more often after many subsequent flips.

E

The probability increases depending on the conditions of the flip.