GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
On a county-wide baseball team, the best players were sent f
[#permalink]
18 Apr 2020, 08:53
18 Apr 2020, 08:53
00:00
Question Stats:
81% (01:28) correct
18% (02:12) wrong based on 53 sessions
Hide Show timer Statistics
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?
A) \(\frac{1}{3}\)
B) \(\frac{4}{13}\)
C) \(\frac{5}{16}\)
D) \(\frac{20}{33}\)
E) \(\frac{20}{53}\)
A) \(\frac{1}{3}\)
B) \(\frac{4}{13}\)
C) \(\frac{5}{16}\)
D) \(\frac{20}{33}\)
E) \(\frac{20}{53}\)
Re: On a county-wide baseball team, the best players were sent f
[#permalink]
18 Apr 2020, 09:37
18 Apr 2020, 09:37
2
it is combined ratio question.
infielders to outfielders is 7:4, and the ratio of pitchers to outfielders is 5:3
so
infielders : outfielders : outfielders
7 : 4
3 : 5
so combined ratio is 3*(7:4 )and 4(3:5)
infielders : outfielders : outfielders
21 : 12 : 20
total =53
so probability of selecting outfielders=20/53
E
infielders to outfielders is 7:4, and the ratio of pitchers to outfielders is 5:3
so
infielders : outfielders : outfielders
7 : 4
3 : 5
so combined ratio is 3*(7:4 )and 4(3:5)
infielders : outfielders : outfielders
21 : 12 : 20
total =53
so probability of selecting outfielders=20/53
E
Re: On a county-wide baseball team, the best players were sent f
[#permalink]
19 Apr 2020, 00:06
19 Apr 2020, 00:06
1
Ratio of infielders to outfielders = 7: 4
Multiplying this ratio by 3 we get = (7 *3) : (4 * 3) = 21 : 12
Ratio of pitchers to outfielders = 5 : 3
Multiplying this ratio by 4 we get = (5 * 4) : (3 * 4) = 20 : 12
Combining both the ratio since outfielder number is common , hence ratio of outfielders to infielder to pitchers = 12: 21: 20
Probability of picking a pitcher from this team = Number of pitchers / Total members in the team = 20 / (20 + 21 +12)
= 20 /53
Answer is E
Multiplying this ratio by 3 we get = (7 *3) : (4 * 3) = 21 : 12
Ratio of pitchers to outfielders = 5 : 3
Multiplying this ratio by 4 we get = (5 * 4) : (3 * 4) = 20 : 12
Combining both the ratio since outfielder number is common , hence ratio of outfielders to infielder to pitchers = 12: 21: 20
Probability of picking a pitcher from this team = Number of pitchers / Total members in the team = 20 / (20 + 21 +12)
= 20 /53
Answer is E
