MathDB

Through an informant, the police know the meeting place of a group of criminals. The identity of the different elements of the group is, however, unknown. Inspector Loureiro's task is to arrest the leader of the group. The inspector knows that the leader of the group is the shortest of the five members of the group, all of them of different heights, who will be present at the meeting. After the meeting, the bandits - as a precautionary measure - leave the building separately with an interval of

15

minutes. As the inspector doesn't know which of them is the shortest, he decides to let the first two criminals out, and arrest the first of the following who is shorter than those who left until that moment. What is the probability that Inspector Loureiro will arrest the right person?

2

Problems(1)