Which of the following simulations would not work for the situation described?

Question

A) To simulate randomly selecting a state in the U.S., assign a two-digit number from 01 to 50 to each state. Use a random digit table to generate two digit numbers, ignoring any over 50.
B) To simulate randomly selecting a day of the year, assign a three-digit number from 001 to 365 to each day of the year. Use a random digit table to generate three digit numbers, ignoring any over 365.
C) To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
D) To simulate randomly selecting a day of the week, assign a one-digit number from 0 to 6 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 6.

Answer 1

The simulation that would not work for the situation described is:

C) To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.

The reason this simulation would not work is that there are 26 letters in the English alphabet (A to Z), and assigning a one-digit number (0 to 9) would not uniquely represent all the letters. Since 10 digits (0-9) cannot map to 26 letters, this simulation is incomplete and cannot accurately represent all the letters of the alphabet.