Problem Solving (PS) | Re: Students are playing a guessing game in which a player must randomly

Students are playing a guessing game in which a player must randomly guess which of five options is correct. After each guess, a new set of five options is presented. A player’s turn continues as long as the player answers correctly. A player’s turn ends the first time the player guesses incorrectly. What is the probability a player’s turn will end after the player guesses three times?

(A) 0.008
(B) 0.032
(C) 0.128
(D) 0.488
(E) 0.512