The location of the treasure varies randomly in such a way that at any given tim

Question

The location of the treasure varies randomly in such a way that at any given time it is just as likely to behind one door as any other. When the player knocks on a given door, the treasure is his or hers if it lies behind that door. Otherwise he or she must return to their original starting point and approach the doors through a dangerous maze again. Once the treasure is captured, the game ends. Let X denote the number of trials needed to capture the treasure. (Adapted from Milton & Arnold, 4th ed, page 95) What is P[X 2 4]? 0.4880 0.18432 0.512 0.1024

Explanation / Answer

probability to find treasure behind a door p=1/5

hence P(X>=4) =P(in first 3 games did not find treasure) =(1-1/5)3=0.512

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