If Andrew's batting average is exactly 0.300 going into the series, and that value is based on exactly 1500 career hits out of 5000 previous times at bat, what is the greatest his average could possibly be when he goes up to bat the tenth time of the series?

0.30125

Step-by-step explanation:

Data provided in the question:

Andrew's batting average = 0.300

Number of career hits for 0.300 batting average = 1,500

Previous bat times for 0.300 batting average = 5,000

Now,

For the greatest possible average, he must have his career hits in every match he bats.

Therefore,

Before the tenth time of the series, he will bat in 9 times

Thus,

He must have 9 career hits in these 9 matches he bats in

therefore,

The total number of career hits = 1,500 + 9 = 1,509

Total number of bat times = 5,000 + 9 = 5,009

Hence,

Greatest average he could possibly have when he goes up to bat the tenth time of the series

= (Total career hits) : (Total number of times he bats)

= 1,509 : 5,009

= 0.30125