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TS EAMCET · Maths · Probability

A boy spcaks truth in 3 out of 5 times. If he throws a die and tells that the number appeared on it is five, then the probability that it is actually five, is

  1. A \(\frac{1}{3}\)
  2. B \(\frac{1}{10}\)
  3. C \(\frac{13}{30}\)
  4. D \(\frac{3}{13}\)
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Answer & Solution

Correct Answer

(D) \(\frac{3}{13}\)

Step-by-step Solution

Detailed explanation

Let \(E_1\) : Event of getting a five \(E_2\) : Event of not getting a five and \(A\) : Event that the boy reports that it is a five. So, required probabilltv by Baye's theorem…