Suppose we have 6 chances to guess a random number between 1 and 100, then it's obvious that the probability of getting the correct answer is $\frac{6}{100}$. Now suppose that after each guess the player can obtain a feedback telling him whether the guess is too low or too high. Considering two situations: 1) the player is smart enough that he will do "bisection" based on the feedback (first guess 50, if too low, second guess 75...), or 2) the player isn't that smart, based on the feedback he still gives a random guess (first guess 40, if too low, second guess 41...). Then what's the probability of getting the correct answer respectively?