JEE Mains · Maths · STD 11 - 14. probability
A letter is known to have arrived by post either from KANPUR or from ANANTPUR. On the envelope just two consecutive letters AN are visible. The probability, that the letter came from ANANTPUR, is:
- A \(\dfrac{7}{10}\)
- B \(\dfrac{10}{17}\)
- C \(\dfrac{12}{19}\)
- D \(\dfrac{7}{19}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{10}{17}\)
Step-by-step Solution
Detailed explanation
Let \(E_1\) be the event that the letter came from KANPUR and \(E_2\) be the event that the letter came from ANANTPUR. Since the letter is equally likely to come from either city, \(P(E_1) = P(E_2) = \dfrac{1}{2}\). Let \(A\) be the event that the two consecutive visible letters…
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