Question about who tells the truth.

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In summary, the conversation discusses the probability that C lied given that A and B have a probability p of telling the truth. The probability of C lying is equal to p^2+(1-p)^2. An example is provided to illustrate the concept, where the probability of both coins showing heads is also p^2+(1-p)^2 if the friend has a probability p of telling the truth.
  • #1
Alexsandro
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Interesting question:

" A says that B told him that C lied ".

If each of these person tells the truth with probability p, what is the probability that C lied ?
 
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  • #2
It is clear that A and B transmit information rightly if they tells the truth simultaneously or if they tells the false simultaneously. Therefore the probability that C lied is equal to

p^2+(1-p)^2.
 
  • #3
Hmm,
on a somewhat similar note,
Your friend tosses two coins simultaneously far away hidden from you. Then he shouts out loud to you that one of the coins shows head.
1. What is the probability that both the coins show head?
2. If your friend utters truth with a probability p, then what is the probability that both the coins are head?

-- AI
P.S -> I am sure this is not a digression from the original question, just an example that i hope should give some idea on the original question.
 

FAQ: Question about who tells the truth.

What is the definition of truth?

The definition of truth is the quality or state of being in accordance with fact or reality.

Why do people lie?

People lie for various reasons, such as to protect themselves or others, to gain an advantage, or to avoid punishment.

How can we determine who is telling the truth?

There are various approaches to determining the truth, such as examining evidence, analyzing body language and behavior, and cross-checking information with multiple sources.

Is it possible for someone to always tell the truth?

It is difficult for someone to always tell the truth, as humans are fallible and can make mistakes or be influenced by their own biases and perspectives.

What are the consequences of not telling the truth?

The consequences of not telling the truth can vary depending on the situation, but can include damaging relationships, losing trust and credibility, and facing legal or ethical repercussions.

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