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conondrumk
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Two bowlers are practicing to hit a wicket over two sessions. 16 Nov 2014, 14:42
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Two bowlers are practicing to hit a wicket over two sessions.

In the first session, over 100 attempts, bowler A managed to hit the wicket 60 times, while bowler B managed to hit it 90 times.

In the second session, Bowler A managed to hit the wicket only once out of 10 times while bowler B managed to hit it 300 times out of 1000.

You have to tell their respective accuracies considering both sessions together ?
Also, who is more accurate in session 1 and who is more accurate in session 2 as well as you have to tell who is more accurate over both the sessions ?


My approach was :

First session : Bowler A = 6/10
Bowler B = 9/10

Second session: Bowler A = 1/10
Bowler B = 3/10

I am not sure how to proceed for both the sessions ?

Can someone please explain. I am a beginner in P&C.



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DangerPenguin
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Two bowlers are practicing to hit a wicket over two sessions. 17 Nov 2014, 10:05
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You cannot reduce the fractions because you need to take into account the amount of attempts the bowler took. To find their overall accuracy for both sessions combined, you need to take the total # of wickets A hit and divide by the total # of attempts that A took.

Bowler A

Accuracy for both sessions = 60+1 / 100+10 = 61/110

Bowler B

accuracy for both sessions = 90+300 / 100+1000 = 390/1100

Bowler A is much more accurate.

Hope this helps :)
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EliLTG
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Two bowlers are practicing to hit a wicket over two sessions. 19 Nov 2014, 12:29
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conondrumk
Two bowlers are practicing to hit a wicket over two sessions.

In the first session, over 100 attempts, bowler A managed to hit the wicket 60 times, while bowler B managed to hit it 90 times.

In the second session, Bowler A managed to hit the wicket only once out of 10 times while bowler B managed to hit it 300 times out of 1000.

You have to tell their respective accuracies considering both sessions together ?
Also, who is more accurate in session 1 and who is more accurate in session 2 as well as you have to tell who is more accurate over both the sessions ?


My approach was :

First session : Bowler A = 6/10
Bowler B = 9/10

Second session: Bowler A = 1/10
Bowler B = 3/10

I am not sure how to proceed for both the sessions ?

Can someone please explain. I am a beginner in P&C.
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What's the actual question here? It sounds like a very clear illustration of Simpson's Paradox, which is a very neat principle and may be the answer to an Explain Critical Reasoning question, but it doesn't look to be formatted as I'd expect from a GMAT math question.



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!