Answer: 0.0386
Step-by-step explanation:
Number of digits = 10
Number of letters in English alphabet = 26
Total number of characters = [tex]10+26=36[/tex]
Now, if replication is allowed, then the total number of ways to make a ten character password will be :_
[tex](36)^{10}[/tex]
The number of ways to make a password having all letters :-
[tex](26)^{10}[/tex]
Now, the probability that the password will contain all letters will be :-
[tex]\dfrac{26^{10}}{36^{10}}=0.0386107708316\approx0.0386[/tex]
Hence, the probability that the password will contain all letters =0.0386
