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# Chances of A saying the truth is 70% and B saying the truth

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Senior Manager
Joined: 11 Nov 2003
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Chances of A saying the truth is 70% and B saying the truth [#permalink]

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24 Mar 2004, 08:02
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Chances of A saying the truth is 70% and B saying the truth is 40%. Replying to a question what are the chances that they will contradict.

(1) 45% (2) 60% (3) 28% (4) None

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Director
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24 Mar 2004, 08:19
to me it seems as 4)none) 7x6/100+3x4/100=54%, other way 1-(TT+LL)=1-(7x4/100+6x3/100)=1-46/100=54%

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24 Mar 2004, 08:22
--------------A----------B
Truth--------70%---------40%
Lied---------30%---------60%

Probability that they contradict is if A says truth and B lied and vice-versa
.7*.6 + .4*.3 = .54
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Paul

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Manager
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24 Mar 2004, 08:37
Hi,

Just a thought ......

If both are lying, can we be sure that they will contradict?

So, is it better to mark 'None' for such a question always even if '.54' was one of the options?

-V

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GMAT Club Legend
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24 Mar 2004, 08:54
Virtual wrote:
Hi,

Just a thought ......

If both are lying, can we be sure that they will contradict?

So, is it better to mark 'None' for such a question always even if '.54' was one of the options?

-V

This is almost like a CR question. can you show an instance when both contradict while they are lying? I don't think both can contradict AND lie on the same question. Both CAN give diff. answers in their lies but not really contradict...
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Best Regards,

Paul

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Manager
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24 Mar 2004, 09:00
Paul wrote:
Virtual wrote:
Hi,

Just a thought ......

If both are lying, can we be sure that they will contradict?

So, is it better to mark 'None' for such a question always even if '.54' was one of the options?

-V

This is almost like a CR question. can you show an instance when both contradict while they are lying? I don't think both can contradict AND lie on the same question. Both CAN give diff. answers in their lies but not really contradict...

In that case '.54' is correct.

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24 Mar 2004, 09:27
Contradicting in this case means "that they are contradicting each other". I assumed that it is given that we knew the right answer in order for us to know in the first place whether they lied or told the truth
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Best Regards,

Paul

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24 Mar 2004, 09:27
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# Chances of A saying the truth is 70% and B saying the truth

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