Re: On a county-wide baseball team, the best players were sent f
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05 Jul 2020, 03:48
On a county-wide baseball team, the best players were sent from each high school. There are three mutually exclusive categories of players on this team: infielders, outfielders, and pitchers. If the ratio of infielders to outfielders is 7:4, and the ratio of pitchers to outfielders is 5:3, then if we pick one player at random from the county-wide baseball team, what is the probability that we will pick a pitcher?
Its a combined ratio problem:
In:Out:Pit
7:4:__
_:3:5
Now we will multiply ratios with the ratio of outfielders since it is common in both
3(7:4) = 21:12
and
4(3:5) = 12:20
Now,
In:Out:Pit
21:12:__
_:12:20
Total = 21+12+20 = 53
pitcher / total = 20/53 which is option E