Question: (8). One computer contest, player is assigned a random number for each play. The assigned number is randomly selected from interval [0, 5]. That is,

(8). One computer contest, player is assigned a random number for each play. The assigned number is randomly selected from interval [0, 5]. That is, any number on interval [0, 5] has the equal chance to be assigned. If the player gets a number less than 0.5, then the player will win a prize. 1(3). For a random selected play, compute the probability of winning the prize. 2(5). Assume each play is independent. One player continues until he firstly win the prize. Find the probability that he firstly win the prize at the 5th play
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