Question

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?

Answer 1

0.30125

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