here is a situation:
i want to choose a security code that consists of 7 letters out of {ABCDE}
what is the likelihood that my security code will be hacked

Question

here is a situation:
i want to choose a security code that consists of 7 letters out of {ABCDE}
what is the likelihood that my security code will be hacked

xapproachesinfinity · Answer

consider that a hacker knows about probability and made a program that runs all the possibilities or such!!

anonymous · Answer

You can only choose one security code (presumably) so you know the probability/likelihood is $\dfrac{1}{\text{total possible codes}}$.

You have 5 letters to choose from for any given slot, with 7 slots. Refer to the $m\times n$ counting rule.

xapproachesinfinity · Answer

hmm so the probability here is 1/5^7?

anonymous · Answer

Correct

xapproachesinfinity · Answer

hmm doesn't that mean the hacker has very little chance to decode the security code lol

anonymous · Answer

Yes it's highly unlikely. That's why most passwords have to satisfy a required length of characters.

xapproachesinfinity · Answer

hmm makes sense^_^