Athief steals an atm card and must randomly guess the correct seven-digit pin code from a 4-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?

The probability of correct guess on the first try is .

Step-by-step explanation:

Consider the provided information.

The ATM has 4 key pad and required a 7 digit pin, where repetition is allowed.

Thief has 7 slots and 4 choices per slot. Because repetition is allowed.

Thus, the total number of different ways are:

4×4×4×4×4×4×4 = 16384

But only one combination is proper code.

Therefore,

Hence, the probability of correct guess on the first try is .

828. all there is to it!

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