The probability that Hamid guesses both answers correctly is 10%.
Since Hamid is playing a trivia game with multiple choice questions, and each question has 2 correct answers among 5 answer choices, and Hamid has no idea what the answers to a certain question are, so he needs to choose two different answers at random, to determine what is the probability that Hamid guesses both answers correctly the following calculation must be performed:
2/5 x 1/4 = X
0.4 x 0.25 = X
0.1 = X
0.1 x 100 = 10
Therefore, the probability that Hamid guesses both answers correctly is 10%.