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Puzzle | Is it Raining

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  • Difficulty Level : Easy
  • Last Updated : 18 Jan, 2023
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A Geek is about to get a plane to Hyderabad. Geek wants to know if it’s raining. Geek calls 3 random friends staying at Hyderabad to ask this question. Each friend has a 2/3 chance of telling the truth and 1/3 chance of lying. All the three friends gave the response as “Yes, it is Raining”. 

Q. What is the probability that it’s actually raining in Hyderabad? 

Answer: 8/9 


As all three friends said Yes so either all of them are telling truth or all are lying.

case 1: All telling truth 2/3*2/3*2/3 = 8/27

case 2: All lying 1/3 * 1/3 * 1/3  = 1/27

case 1 is favourable to raining and case 2 is against it

so probability that it is raining in Hyderabad is (8/27)/(8/27 + 1/27) = 8/9

So, it is approximately 89% chance that it is raining in Hyderabad.

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