Search 82,095 tutors
Ask a question
0 0

Probability question. Please help

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?  
Tutors, please sign in to answer this question.

1 Answer

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