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Chef plans to include a safety feature in the PINs: if someone inputs the reverse of their own PIN in an ATM machine, the Crime Investigation Department (CID) are immediately informed and stop the robbery. However, even though this was implemented by Chef, some people could still continue to get robbed. The reason is that CID is only informed if the reverse of a PIN is different from that PIN (so that there wouldn't be false reports of robberies). You know that a PIN consists of N decimal digits. Find the probability that Reziba could get robbed. Specifically, it can be proven that this probability can be written as a fraction P/Q, where P≥0 and Q>0 are coprime integers; you should compute P and Q.
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Chef plans to include a safety feature in the PINs: if someone inputs the reverse of their own PIN in an ATM machine, the Crime Investigation Department (CID) are immediately informed and stop the robbery. However, even though this was implemented by Chef, some people could still continue to get robbed. The reason is that CID is only informed if the reverse of a PIN is different from that PIN (so that there wouldn't be false reports of robberies).
You know that a PIN consists of N decimal digits. Find the probability that Reziba could get robbed. Specifically, it can be proven that this probability can be written as a fraction P/Q, where P≥0 and Q>0 are coprime integers; you should compute P and Q.