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What is the probability that a point satisfying the conditions x ≤
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Updated on: 21 Oct 2019, 22:57
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20% (02:01) correct 80% (02:37) wrong based on 45 sessions
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What is the probability that a point satisfying the conditions x ≤ 2 and y ≤ 2 also satisfies x + y ≤ 1? A. 1/16 B. 1/4 C. 7/16 D. 9/16 E. 3/4 Source: Career Launcher
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Originally posted by nick1816 on 21 Oct 2019, 17:07.
Last edited by nick1816 on 21 Oct 2019, 22:57, edited 1 time in total.



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Re: What is the probability that a point satisfying the conditions x ≤
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21 Oct 2019, 19:13
x and y can be any real number in the range. x ≤ 2 and y ≤ 2 Area bounded by these 2 curves= 4*4=16 Area bounded by x ≤ 2, y ≤ 2 and x+y ≤ 1 16(1/2*3*3)(1/2*3*3)=7 Probability= 7/16 Source: Career Launcher chetan2u wrote: nick1816 wrote: What is the probability that a point satisfying the conditions x ≤ 2 and y ≤ 2 also satisfies x + y ≤ 1?
A. 1/16 B. 1/4 C. 7/16 D. 9/16 E. 3/4 Please check the question it may not be correct. x≤ 2 means x can be 2,1,0,1,2 and y ≤ 2 means y can be 2,1,0,1,2 So total ways (x,y) can be chosen is 5*5=25 but none of the choices has 25 or 5 in the denominator Source please
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Re: What is the probability that a point satisfying the conditions x ≤
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21 Oct 2019, 19:23
nick1816 wrote: x and y can be any real number in the range. x ≤ 2 and y ≤ 2 Area bounded by these 2 curves= 4*4=16 Area bounded by x ≤ 2, y ≤ 2 and x+y ≤ 1 16(1/2*3*3)(1/2*3*3)=7 Probability= 7/16 Source: Career Launcher chetan2u wrote: nick1816 wrote: What is the probability that a point satisfying the conditions x ≤ 2 and y ≤ 2 also satisfies x + y ≤ 1?
A. 1/16 B. 1/4 C. 7/16 D. 9/16 E. 3/4 Please check the question it may not be correct. x≤ 2 means x can be 2,1,0,1,2 and y ≤ 2 means y can be 2,1,0,1,2 So total ways (x,y) can be chosen is 5*5=25 but none of the choices has 25 or 5 in the denominator Source please Yes, I missed out that you have not mentioned that x and y are integers, but a GMAT question would be in a format which will either tell you that x,y are integers or it will mention area bounded by x<2 and y<2. This is more of a language of a CAT question and Career launcher also has more to do with CAT preparation. Please mention source along with the question.
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Re: What is the probability that a point satisfying the conditions x ≤
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21 Oct 2019, 19:24
chetan2u wrote: nick1816 wrote: What is the probability that a point satisfying the conditions x ≤ 2 and y ≤ 2 also satisfies x + y ≤ 1?
A. 1/16 B. 1/4 C. 7/16 D. 9/16 E. 3/4 Please check the question it may not be correct. x≤ 2 means x can be 2,1,0,1,2 and y ≤ 2 means y can be 2,1,0,1,2 So total ways (x,y) can be chosen is 5*5=25 but none of the choices has 25 or 5 in the denominator Source please He didn't say x is an integer, why did you assume all integer values Posted from my mobile device



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Re: What is the probability that a point satisfying the conditions x ≤
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21 Oct 2019, 19:31
Peddi wrote: chetan2u wrote: nick1816 wrote: What is the probability that a point satisfying the conditions x ≤ 2 and y ≤ 2 also satisfies x + y ≤ 1?
A. 1/16 B. 1/4 C. 7/16 D. 9/16 E. 3/4 Please check the question it may not be correct. x≤ 2 means x can be 2,1,0,1,2 and y ≤ 2 means y can be 2,1,0,1,2 So total ways (x,y) can be chosen is 5*5=25 but none of the choices has 25 or 5 in the denominator Source please He didn't say x is an integer, why did you assume all integer values Posted from my mobile deviceYes you are correct and that is what I mentioned above. Although I realised that even while I wrote the post but felt that the post actually meant them as integers since most of the GMAT question would be in that language. I would delete my post as it would unnecessarily create confusion.
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Re: What is the probability that a point satisfying the conditions x ≤
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21 Oct 2019, 19:33
chetan2uI will take care of that from next time. Thanks for letting me know. :



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Re: What is the probability that a point satisfying the conditions x ≤
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25 Oct 2019, 08:49
nick1816 wrote: x and y can be any real number in the range.
x ≤ 2 and y ≤ 2 Area bounded by these 2 curves= 4*4=16
Area bounded by x ≤ 2, y ≤ 2 and x+y ≤ 1 16(1/2*3*3)(1/2*3*3)=7
Probability= 7/16
Source: Career Launcher
I am unable to follow this, could please explain one more time?



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Re: What is the probability that a point satisfying the conditions x ≤
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25 Oct 2019, 08:50
nick1816 wrote: x and y can be any real number in the range.
x ≤ 2 and y ≤ 2 Area bounded by these 2 curves= 4*4=16
Area bounded by x ≤ 2, y ≤ 2 and x+y ≤ 1 16(1/2*3*3)(1/2*3*3)=7
Probability= 7/16
Source: Career Launcher
I am unable to follow this, could please explain one more time?



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Re: What is the probability that a point satisfying the conditions x ≤
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01 Nov 2019, 01:23
chetan2u I got 7/25 (I assumed that it mentions integer) Without the assumption the answer would be Infinity/Infinity. . However I clicked on C because that was the only option with 7 in the numerator. Good question, poorly written.




Re: What is the probability that a point satisfying the conditions x ≤
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01 Nov 2019, 01:23






