MATH SOLVE

2 months ago

Q:
# A thief steals an atm card and must randomly guess the correct four-digit pin code from a 8-key keypad. repetition of digits is allowed. what is the probability of a correct guess on the first try?

Accepted Solution

A:

The probability is 1/4096.

Since repetition is allowed, each digit could be any of the 8 on the keypad; this makes the number of choices 8*8*8*8 = 4096. Only one of those is correct, so the probability is 1/4096.

Since repetition is allowed, each digit could be any of the 8 on the keypad; this makes the number of choices 8*8*8*8 = 4096. Only one of those is correct, so the probability is 1/4096.