Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After three hours, Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters. Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?	Choose the correct choice from the following options.
A) 1/36  B) 1/30  C) 5/36  D) 1/24  E) 1/28
Explanation :   The probability that Sumit actually sees a Shark, given that he claimed to have seen one.   =&gt;P(He actually sees the shark and reports truth) / P(He claims of seeing a shark).   =&gt;P(Sees the shark)P(Reports Truth)/(P(He sees a shark)P(reports truth)+P(Doesn't see) P(reports false).   =&gt;(1/8×1/6)/(1/8×1.6+7/8×5/6)   =&gt;1/36.   1/36nswer : 1/36
<result>A</result>
Amit, Sumit and Pramit go to a seaside town to spend a vacation there and on the first day everybody decides to visit different tourist locations. After breakfast, each of them boards a different tourist vehicle from the nearest bus-depot. After three hours, Sumit who had gone to a famous beach, calls on the mobile of Pramit and claims that he has observed a shark in the waters. Pramit learns from the local guide that at that time of the year, only eight sea-creatures (including a shark) are observable and the probability of observing any creature is equal. However, Amit and Pramit later recall during their discussion that Sumit has a reputation for not telling the truth five out of six times. What is the probability that Sumit actually observed a shark in the waters?