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­In a sports event, a total of 50 students participated from either School A or School B. Every student played exactly one of the two sports Cricket or Hockey. A student is selected randomly. If the probability of randomly selecting a student from School B who played Hockey is x, is x > 3/5?

(1) A total of 35 students participated from School A.
(2) There were a total of 12 students who played Hockey.
­Even though the question (the red part) could have been worded better, the question essentially asks whether the probability of selecting a student from the yellow box is more than 3/5. This translates to whether the number of students from B who play hockey is more than 3/5 * 50 = 30.



(1) implies that there are a total of 50 - 35 = 15 students from B (orange box). Hence, the value in the yellow box cannot be more than 15.

(2) implies that there are a total of 12 students playing hockey (green box). Hence, the value in the yellow box cannot be more than 15.

Answer: D.­­­­


Attachment:
Untitled.png
­­
­The last part of the language of the question is a bit distracting. It says the probability of randomly selecting a student from School B who played Hockey is x, it could have meant the students who play hockey among all the students of B but not All 50 students.

It should have said the probability of randomly selecting a student who played hockey from school B

Otherwise, its pretty straight forward. It should be D
 ­
­Exactly, even I thought the same, the wording makes it seem like we only need to consider students from class B instead of the combined total,but if worded correctly ,it's not that difficult to solve
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­Exactly, even I thought the same, the wording makes it seem like we only need to consider students from class B instead of the combined total,but if worded correctly ,it's not that difficult to solve

­Yes, as I mention in my post, the wording is not good.­
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­Exactly, even I thought the same, the wording makes it seem like we only need to consider students from class B instead of the combined total,but if worded correctly ,it's not that difficult to solve

­Yes, as I mention in my post, the wording is not good.­
­is there a possibility of such improper wording happening in the actual exam? 
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­Exactly, even I thought the same, the wording makes it seem like we only need to consider students from class B instead of the combined total,but if worded correctly ,it's not that difficult to solve

­Yes, as I mention in my post, the wording is not good.­
­is there a possibility of such improper wording happening in the actual exam? 
­This is not an official question. Official questions are always worded precisely.
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Quote:
 
Quote:
Quote:
­is there a possibility of such improper wording happening in the actual exam? 
­This is not an official question. Official questions are always worded precisely.
­got it!, thank you for the clarification­­­
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