Respuesta :
Answer:
0.1419 ( (if upper and lower cases are interchangeable)
0.348 ( if upper and lower cases are distinct letters)
Step-by-step explanation:
Each digit has 36 possible choices as 26+10
computer generates six characters
there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)
For number of letters-only arrangements = [tex]26^{6}[/tex] = 308915776
For number of alphanumeric arrangements = [tex]36^{6}[/tex]= 2176782336
In order to find the probability of letters-only arrangements : [tex]\frac{308915776}{2176782336}[/tex]
=>0.1419
Now, in different scenario if upper and lower cases are not interchangeable.
We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices
Therefore, probability of letters-only arrangements will be [tex]\frac{52^{6} }{62^{6} }[/tex]
=>0.348
Answer:
The probability of all letters arrangement if the upper cases and the lower cases of the English alphabet are interchangeable = 14.2%
The probability of all letters arrangement if the upper cases and the lower cases are not interchangeable = 34.8%
Step-by-step explanation:
please kindly check the attached files for explanation.

