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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.
