SOLUTION
The experiment consists of 13 trials, the probability of sucess on trial 6 is 0.58.
Now according to binomial distribution properties the number of trials is fixed and each observation is independent, that is each represents one of the two outcomes, which are "a success" or "a failure".
The probability of success (p) is the same for each outcomes.
Hence the probability of success of trial 6 will be the same for the probability of success on trial 10.
Therefore, the probability of success on trial 10 will be 0.58.
Hence the correct answer is 0.58, so the 5th option is the correct answer.