Fractal Interview Questions | Consecutive Numbers
Question
You are given 200 numbers and asked to pick 12 numbers randomly. What is the probability of picking consecutive numbers if the sample is arranged in descending order.
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Answer ( 1 )
We have to choose one of the number from 1-91(assuming there are numbers from 1-100) . It is because if we choose 92. We cannot have 10 consecutive numbers. After choosing the number (say 50), we have no choice we have to choose next consecutive number i.e 51 and then 52 and so on upto 59.
Hence the probability of selecting any number from 1-91 is 91/100.
After selecting that number the probability of selecting the consecutive number is 1/100 ( for rest nine numbers)
Hence the required probability is 91/(100)^10