Ask a question

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?  

1 Answer by Expert Tutors

Tutors, sign in to answer this question.
Rachel P. | Experienced and Versatile Math, Science, and Test Prep TutorExperienced and Versatile Math, Science,...
5.0 5.0 (283 lesson ratings) (283)
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