Probability question. Please help

Question

A thief steals an ATM card and must randomly guess the correct 5 digit pass code from a 6-Key key pad. Repetition Is allowed. What is the probability of a correct guess on the first try?

 

the number of possible codes

 

the probability that correct code is given on the first try is?  

 

Answer 1

There are five digits in the pass code:

 

_ _ _ _ _

 

There are only 6 keys in the key pad, so for each digit, your thief has a 1/6 probability of guessing the correct digit. Since digits can be repeated, your thief's 1/6 probability is true across the board:

 

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7776