Question

A thief steals an ATM card and must randomly guess the correct five-digit pin code from an 8 key keypad repetition of digits is allowed what is the probability of a correct guess on the first try?

Answer 1

Answer:

1/32768

Step-by-step explanation:

We have 5 digit pin code plots and 8 choices per slot. Because repetition is allowed (1 digit can have 8 choices) so we multiply out the number of choices per slot . Hence:

8*8*8*8*8 = $8^{5} = 32768$

So there are 32768 different combination.

But correct guess on the first try is just only 1 time, so its' probability:

1/32768