Step 1 :The first part of the question asks for the total number of possible codes. Since the keypad has 6 keys and repetition is allowed, each of the 5 digits in the pin code can be any of the 6 numbers. Therefore, the total number of possible codes is \(6^5\).
Step 2 :Let's calculate this value. total_codes = \(6^5\) = 7776
Step 3 :The second part of the question asks for the probability of guessing the correct code on the first try. Since there is only one correct code, the probability is \(\frac{1}{6^5}\).
Step 4 :Let's calculate this value. probability = \(\frac{1}{7776}\) = 0.0001286008230452675
Step 5 :Final Answer: The total number of possible codes is \(\boxed{7776}\). The probability that the correct code is given on the first try is \(\boxed{\frac{1}{7776}}\).