Cred Interview Question | Consecutive Numbers
Question
What is the probability of generating ten consecutive numbers in ascending order out of 100 numbers?
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Answers ( 4 )
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
Chossing 10 numbers from 100 numbers can be done in 100c10 ways.
Chossing 10 numbers from 100 numbers in consecutive ways can be done in 91 ways.
so the probability is 91/100c10.
91/100C10
Number of Favourable Outcomes =Probability of Selecting 10 Consecutive numbers from Total =91
Total Number of Outcomes = Probability of Selecting 10 numbers from Total =100c10
Probability =Number of Favourable Outcomes/Total Number of Outcomes
=91/100c10