Members of a mafia group gathered at a secret hideaway. The city police come to
ID: 3261808 • Letter: M
Question
Members of a mafia group gathered at a secret hideaway. The city police come to know about the meeting and plan to arrest the leader of the group. The police know that the members of the mafia will leave one by one at random order for security reasons from the hideaway. As soon as the police arrests one of them, other members would be alerted and would flee. For this reason, the cop would arrest if they are reasonably sure if he is the leader of the gang. The police know that the leader is the tallest member of the gang, and they also know that the gang consists of 20 members. How can the police maximize the probability of arresting the gang leader?
Explanation / Answer
The police can maximize the probability of arresting the gang leader, by getting an idea of the average hieght of normal adults and knowing what range of hieght can be termed as "Tall"
This will help the Police to now which gangsters to let go , and which one to doubt. There may be a situation where the leader alone is the tallest person , and remaining 19 people are of normal heights. In this case the police would be sure shot of picking the right person. Thus the prior knowledge of normal heights and tall heights will help the police in this case to be sure of catching the leader alone directly.