Binary Digits. According to the binary system, a 4-digit combination has 16 possible arrangements of the digits, as shown in the following table.

0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 Let A = event the first digit is 1, B = event the second digit is 0, and C = event the last digit is 1.

Apply the definition of independence for three events stated in Exercise 4.204 to show that A, B, and C are independent events.