Percents And Probability Worksheet With Answers - Lesson 12-19 Page 18
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Batting averages for baseball players are computed by fi nding the ratio
of the number of hits a batter has to his number of times at bat.
To fi nd Hank Aaron’s batting average, fi nd the ratio of his hits to his at bats.
Batting Average = number of hits
= 3771
_____________
_____
12364
number of at bats
3771
Although
_____
is the ratio that describes Aaron’s batting average, batting averages are always given
12364
as decimals rounded to the nearest thousandths place.
3771
_____
Aaron’s batting average =
= 0.3049983… ≈ 0.305
12364
Th is is read as “Hank Aaron’s batting average is 305”.
Pretend Hank Aaron played in one more game and had 4 at bats. How many hits would you predict
he would have made in the game?
Aaron’s batting average is also experimental probability. You would predict he had a 0.305 chance
of getting a hit (30.5% chance). Use the percent equation to fi nd the answer to how many hits you
would predict.
x = 0.305 ∙ 4
x = 1.22
You would predict 1 hit.
1.
Suppose Alex Rodriguez fi nishes the baseball season with a batting average of 0.333 because he
has recorded 180 hits in 540 at bats. Use his season’s performance as a predictor of success in the
World Series. How many hits would you estimate he hits in six World Series games that give him
four at bats each?
2.
Suppose each of the players in the chart below are given the chance to bat in six World Series
games and get four at bats in each game. Predict the number of hits each player would have
in the games.
ty
reggie
Mickey
tony
Jackie
edgar
Cobb
Jackson
Mantle
gwynn
robinson
Martinez
Batting Average
0.366
0.262
0.298
0.338
0.311
0.312
number of hits
Predicted
Source:
88
Lesson 14 ~ Use Probability To Predict
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