Final answer:
The probability that the locker code begins with a prime number is 1/4. The probability that the last digit of the locker code is an odd number is 1/2.
Step-by-step explanation:
The probability that the locker code begins with a prime number is 1/4. This is because there are 4 prime numbers between 1 and 9 (2, 3, 5, 7), out of a total of 9 possible digits (1, 2, 3, 4, 5, 6, 7, 8, 9).
The probability that the last digit of the locker code is an odd number is 1/2. This is because there are 5 odd numbers between 0 and 9 (1, 3, 5, 7, 9), out of a total of 10 possible digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).