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?

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 =

So there are 32768 different combination.

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

1/32768

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐