Question

A batting average of 0.250 in baseball means a player, on average gets 25 hits in 100 times at bat. How many hits would he expect to get in 360 times at bat

Answer 1

From the given information:

Batting average of the player = 0.25.

This means that, on average, the player gets 25 hits in 100 times at-bat.

Therefore:

The number of hits which he would expect to get in 360 times at-bat

= Batting Average X Number of Times at-bat

`\begin{gathered} =0.25\text{ x 360} \\ =90 \end{gathered}`

The baseball player would expect to get 90 hits in 360 times at-bat.

Another approach is to use ratio.

`\frac{25\text{ Hits}}{100\text{ times at bat}}=\frac{x\text{ Hits}}{360\text{ times at bat}}`

Cross multiply

`\begin{gathered} 100x=25\text{ }*\text{ 360} \\ 100x=9000 \end{gathered}`

Divide both sides by 100 to solve for x

`x=90`

Therefore, the baseball player would expect to get 90 hits in 360 times at-bat.