Question

A bank requires a four-digit access code for each account. The access code is generated using the digits 0–9, and the digits can be repeated. What is the probability of an access code “1234”?

StartFraction 1 over 10,000 EndFraction
StartFraction 1 over 6,561 EndFraction
StartFraction 1 over 10 EndFraction
Two-fifths

Answer 1

Answer: The answer is StartFraction 1 over 10,000 EndFraction.

Step-by-step explanation: There are 10 possible digits that can be used for each of the four positions in the access code, so there are 10 x 10 x 10 x 10 = 10,000 possible access codes.

There is only one way to have the access code "1234" out of the 10,000 possible access codes.

Therefore, the probability of having an access code "1234" is 1/10,000.

So the answer is StartFraction 1 over 10,000 EndFraction.