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A baseball team has three different pitchers. Randy allowed 2 runs and pitched 3 innings. Felix allowed 4 runs and pitched 5 innings. Johan allowed 5 runs and pitched 7 innings.
Which pitcher has the lowest number of runs allowed per inning?
Choose 1 answer:
(A) Randy
(B) Felix
(C) Johan

A baseball team has three different pitchers. Randy allowed $2$ runs and pitched $3$ innings. Felix allowed $4$ runs and pitched $5$ innings. Johan allowed $5$ runs and pitched $7$ innings. $\newline$ Which pitcher has the lowest number of runs allowed per inning? $\newline$ Choose $1$ answer: $\newline$ (A) Randy $\newline$ (B) Felix $\newline$ (C) Johan

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Experimental probability

Full solution

Q. A baseball team has three different pitchers. Randy allowed

2

runs and pitched

3

innings. Felix allowed

4

runs and pitched

5

innings. Johan allowed

5

runs and pitched

7

innings.

\newline

Which pitcher has the lowest number of runs allowed per inning?

\newline

Choose

1

answer:

\newline

(A) Randy

\newline

(B) Felix

\newline

(C) Johan

Calculate Randy's runs per inning: To find the pitcher with the lowest number of runs allowed per inning, we need to calculate the runs allowed per inning for each pitcher. Let's start with Randy. $\newline$ Randy allowed $2$ runs and pitched $3$ innings. $\newline$ Runs allowed per inning for Randy = Number of runs allowed / Number of innings pitched $\newline$ = $\frac{2}{3}$
Calculate Felix's runs per inning: Next, let's calculate the runs allowed per inning for Felix. $\newline$ Felix allowed $4$ runs and pitched $5$ innings. $\newline$ Runs allowed per inning for Felix = Number of runs allowed / Number of innings pitched $\newline$ = $4 / 5$
Calculate Johan's runs per inning: Finally, let's calculate the runs allowed per inning for Johan. $\newline$ Johan allowed $5$ runs and pitched $7$ innings. $\newline$ Runs allowed per inning for Johan = Number of runs allowed / Number of innings pitched $\newline$ = $5 / 7$
Compare runs per inning: Now, we compare the runs allowed per inning for each pitcher to determine who has the lowest number. $\newline$ Randy: $\frac{2}{3} \approx 0.6667$ $\newline$ Felix: $\frac{4}{5} = 0.8$ $\newline$ Johan: $\frac{5}{7} \approx 0.7143$ $\newline$ Comparing these values, Randy has the lowest runs allowed per inning.

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