4. Probability & Statistics: Dice Given a fair 6-sided die (equal probability of landing 1,2,3,4,5, or 6), if you roll it 5 times and add up the results, what is the probability that the sum is divisible by 6? Pick ONE option 1/12 5/36 LO 1/6 5!/(65) 6/(6^5) None of the above Clear Selection //www.hackerrank.com/test/d203 ima9bkr/questions/dq56hbt910p O Type here to search

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EXPERT ANSWER

ANSWER IS 1/6

Note :

We know that whatever be the first four numbers , the fifth number will decide whether the sum is divisible by 6 or not

That is let , S= N+N5

Before adding N5 , we cannot say whether S is divisible by 6

N5 is chosen from 6 equally likely numbers ,1,2,3,4,5,6

P(N5) =1/6

Therefore probability that sum is divisible by 6 is 1/6