Corrine needs to make a 2-digit code using the numbers 0-9 and the letters A-D . What is the complete sample space for this compound event Show your work
To find the complete sample space for this compound event, we need to determine all possible 2-digit codes using the numbers 0-9 and the letters A-D.
First, let's list the numbers 0-9: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
Next, let's list the letters A-D: A, B, C, D.
To form a 2-digit code, we can choose any number from 0-9 for the first digit and any number from 0-9 or any letter from A-D for the second digit.
So, the complete sample space for this compound event is as follows:
00, 01, 02, 03, ..., 09
10, 11, 12, 13, ..., 19
20, 21, 22, 23, ..., 29
...
90, 91, 92, 93, ..., 99
AA, AB, AC, AD
BA, BB, BC, BD
CA, CB, CC, CD
DA, DB, DC, DD
Hence, the complete sample space for this compound event is:
00, 01, 02, 03, ..., 09,
10, 11, 12, 13, ..., 19,
20, 21, 22, 23, ..., 29,
...
90, 91, 92, 93, ..., 99,
AA, AB, AC, AD,
BA, BB, BC, BD,
CA, CB, CC, CD,
DA, DB, DC, DD.