Question: If Andrew's batting average is exactly 0.600 going into the series, and that value is based on exactly 3000 career hits out of 5000

If Andrew's batting average is exactly 0.600 going into the series, and 

If Andrew's batting average is exactly 0.600 going into the series, and that value is based on exactly 3000 career hits out of 5000 previous times at bat, what is the least his average could possibly be when he goes up to bat the tenth time of the series? The least possible average is (Round to three decimal places as needed.) If Andrew's batting average is exactly 0.600 going into the series, and that value is based on exactly 3000 career hits out of 5000 previous times at bat, what is the least his average could possibly be when he goes up to bat the tenth time of the series? The least possible average is (Round to three decimal places as needed.)

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