Player 1 has the higher batting average.

If the average player has a 0.250 batting average, the chance of the average player having a 0.500 or higher batting average in six appearances at bat is 16.94% or about one-sixth of the time. So, just by luck, an average player could easily have a 0.500 or higher batting average in six appearances at bat.

The chance that the average player carries a 0.300 batting average or higher for 3,000 at bats is almost zero.

Experience must be considered with batting average.

See why Player 2 is the better answer.