A man is known to speak truth 3 out of 4 times . He throws a die and reports that itvis a no. 3 . Find the probability that it is actually a no. 3
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Answer:
Step-by-step explanation:
Let assume the following events
E₁ : die show a number 3
E₂ : die do not show a number 3
E : a man reports that 3 occurs on the die.
Now,
Now,
and
Now, By definition of Bayes Theorem, we have
So, on substituting the values, we get
Hence,
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